{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Causal prediction with `TIGRAMITE`\n",
    "\n",
    "TIGRAMITE is a time series analysis python module. It allows to reconstruct graphical models (conditional independence graphs) from discrete or continuously-valued time series based on the PCMCI framework and create high-quality plots of the results.\n",
    "\n",
    "PCMCI is described here:\n",
    "J. Runge, P. Nowack, M. Kretschmer, S. Flaxman, D. Sejdinovic, \n",
    "Detecting and quantifying causal associations in large nonlinear time series datasets. Sci. Adv. 5, eaau4996 (2019) \n",
    "https://advances.sciencemag.org/content/5/11/eaau4996\n",
    "\n",
    "For further versions of PCMCI (e.g., PCMCI+, LPCMCI, etc.), see the corresponding tutorials.\n",
    "\n",
    "This tutorial explains how to use PCMCI to obtain optimal predictors. See the following paper for theoretical background:\n",
    "Runge, Jakob, Reik V. Donner, and Jürgen Kurths. 2015. “Optimal Model-Free Prediction from Multivariate Time Series.” Phys. Rev. E 91 (5): 052909. https://doi.org/10.1103/PhysRevE.91.052909.\n",
    "\n",
    "Last, the following Nature Communications Perspective paper provides an overview of causal inference methods in general, identifies promising applications, and discusses methodological challenges (exemplified in Earth system sciences): \n",
    "https://www.nature.com/articles/s41467-019-10105-3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Imports\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline     \n",
    "## use `%matplotlib notebook` for interactive figures\n",
    "# plt.style.use('ggplot')\n",
    "import sklearn\n",
    "\n",
    "import tigramite\n",
    "from tigramite import data_processing as pp\n",
    "from tigramite.toymodels import structural_causal_processes as toys\n",
    "from tigramite import plotting as tp\n",
    "from tigramite.pcmci import PCMCI\n",
    "\n",
    "from tigramite.independence_tests.parcorr import ParCorr\n",
    "from tigramite.independence_tests.gpdc import GPDC\n",
    "from tigramite.independence_tests.cmiknn import CMIknn\n",
    "from tigramite.independence_tests.cmisymb import CMIsymb\n",
    "\n",
    "from tigramite.models import LinearMediation, Prediction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Prediction\n",
    "\n",
    "Tigramite also contains a class ``tigramite.models.Prediction`` to perform predictions based on the sklearn models. The ``Prediction`` class includes a wrapper around ``run_pc_stable`` from the ``PCMCI`` class to perform predictor selection. Consider the following data generation process: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(42)\n",
    "T = 200\n",
    "links_coeffs = {0: [((0, -1), 0.6)],\n",
    "                1: [((1, -1), 0.6), ((0, -1), 0.8)],\n",
    "                2: [((2, -1), 0.5), ((1, -1), 0.7)],  # ((0, -1), c)],\n",
    "                }\n",
    "N = len(links_coeffs)\n",
    "data, true_parents = toys.var_process(links_coeffs, T=T)\n",
    "dataframe = pp.DataFrame(data, var_names = [r'$X^0$', r'$X^1$', r'$X^2$'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We initialize the ``Prediction`` class with ``cond_ind_model=ParCorr()``. Secondly, we choose ``sklearn.linear_model.LinearRegression()`` here for prediction. Last, we scale the data via ``data_transform``. The class takes care of rescaling the data for prediction. The parameters ``train_indices`` and ``test_indices`` are used to divide the data up into a training set and test set. Here we insert a gap of at least ``tau_max`` (chosen to be 30 below) between train and test indices, because we will use lagged predictors to predict on the test indices. The test set is optional since new data can be supplied later. The training set is used to select predictors and fit the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "pred = Prediction(dataframe=dataframe,\n",
    "        cond_ind_test=ParCorr(),   #CMIknn ParCorr\n",
    "        prediction_model = sklearn.linear_model.LinearRegression(),\n",
    "#         prediction_model = sklearn.gaussian_process.GaussianProcessRegressor(),\n",
    "        # prediction_model = sklearn.neighbors.KNeighborsRegressor(),\n",
    "    data_transform=sklearn.preprocessing.StandardScaler(),\n",
    "    train_indices= range(int(0.8*T)),\n",
    "    test_indices= range(int(0.9*T), T),\n",
    "    verbosity=1\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we estimate causal predictors using ``get_predictors`` for the target variable 2 taking into account a maximum past lag of ``tau_max``. We use ``pc_alpha=None`` which optimizes the parameter based on the Akaike score. Note that the predictors are different for each prediction horizon. For example, at a prediction horizon of ``steps_ahead=1`` we get the causal parents from the model plus some others:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Step 1: PC1 algorithm for selecting lagged conditions\n",
      "##\n",
      "\n",
      "Parameters:\n",
      "independence test = par_corr\n",
      "tau_min = 1\n",
      "tau_max = 5\n",
      "pc_alpha = [0.05, 0.1, 0.2, 0.3, 0.4, 0.5]\n",
      "max_conds_dim = None\n",
      "max_combinations = 1\n",
      "\n",
      "\n",
      "\n",
      "## Resulting lagged parent (super)sets:\n",
      "\n",
      "    Variable $X^0$ has 1 link(s):\n",
      "    [pc_alpha = 0.05]\n",
      "        ($X^0$ -1): max_pval = 0.00000, |min_val| =  0.560\n",
      "\n",
      "    Variable $X^1$ has 3 link(s):\n",
      "    [pc_alpha = 0.3]\n",
      "        ($X^0$ -1): max_pval = 0.00000, |min_val| =  0.685\n",
      "        ($X^1$ -1): max_pval = 0.00000, |min_val| =  0.556\n",
      "        ($X^2$ -1): max_pval = 0.22735, |min_val| =  0.099\n",
      "\n",
      "    Variable $X^2$ has 3 link(s):\n",
      "    [pc_alpha = 0.1]\n",
      "        ($X^1$ -1): max_pval = 0.00000, |min_val| =  0.557\n",
      "        ($X^2$ -1): max_pval = 0.00000, |min_val| =  0.418\n",
      "        ($X^1$ -2): max_pval = 0.05793, |min_val| =  0.157\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "target = 2\n",
    "tau_max = 5\n",
    "predictors = pred.get_predictors(\n",
    "                  selected_targets=[target],\n",
    "                  steps_ahead=1,\n",
    "                  tau_max=tau_max,\n",
    "                  pc_alpha=None\n",
    "                  )\n",
    "graph = np.zeros((N, N, tau_max+1), dtype='bool')\n",
    "for j in [target]:\n",
    "    for p in predictors[j]:\n",
    "        graph[p[0], j, abs(p[1])] = 1\n",
    "\n",
    "# Plot time series graph\n",
    "tp.plot_time_series_graph(\n",
    "    figsize=(6, 3),\n",
    "#     node_aspect=2.,\n",
    "    val_matrix=np.ones(graph.shape),\n",
    "    graph=graph,\n",
    "    var_names=None,\n",
    "    link_colorbar_label='',\n",
    "    ); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note, that ``get_predictors`` is based only on the first step of PCMCI and skips the MCI step since correct false positive rates are not that relevant for prediction and the first step alone is faster. Now, we set ``steps_ahead=2`` and get different predictors:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Step 1: PC1 algorithm for selecting lagged conditions\n",
      "##\n",
      "\n",
      "Parameters:\n",
      "independence test = par_corr\n",
      "tau_min = 2\n",
      "tau_max = 20\n",
      "pc_alpha = [0.05, 0.1, 0.2, 0.3, 0.4, 0.5]\n",
      "max_conds_dim = None\n",
      "max_combinations = 1\n",
      "\n",
      "\n",
      "\n",
      "## Resulting lagged parent (super)sets:\n",
      "\n",
      "    Variable $X^0$ has 3 link(s):\n",
      "    [pc_alpha = 0.3]\n",
      "        ($X^0$ -2): max_pval = 0.00128, |min_val| =  0.296\n",
      "        ($X^1$ -14): max_pval = 0.13889, |min_val| =  0.137\n",
      "        ($X^2$ -5): max_pval = 0.25654, |min_val| =  0.106\n",
      "\n",
      "    Variable $X^1$ has 5 link(s):\n",
      "    [pc_alpha = 0.4]\n",
      "        ($X^0$ -2): max_pval = 0.00000, |min_val| =  0.567\n",
      "        ($X^1$ -2): max_pval = 0.00725, |min_val| =  0.246\n",
      "        ($X^1$ -16): max_pval = 0.28612, |min_val| =  0.099\n",
      "        ($X^0$ -10): max_pval = 0.28889, |min_val| =  0.098\n",
      "        ($X^2$ -2): max_pval = 0.31115, |min_val| =  0.095\n",
      "\n",
      "    Variable $X^2$ has 4 link(s):\n",
      "    [pc_alpha = 0.05]\n",
      "        ($X^1$ -2): max_pval = 0.00000, |min_val| =  0.719\n",
      "        ($X^0$ -2): max_pval = 0.00006, |min_val| =  0.358\n",
      "        ($X^2$ -2): max_pval = 0.01518, |min_val| =  0.222\n",
      "        ($X^1$ -20): max_pval = 0.02435, |min_val| =  0.206\n"
     ]
    },
    {
     "data": {
      "image/png": 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Kpdi+fbvyfV66dGk8efIEAGBkZARLS0tdytQqnTt3xvHjx5X/Hx8fj1u3bsHZ2Rnz5s3D4MGDdahOewjtY8aMGaPcE2T24jY7k3rdClj8HU+5f3N2dlb7WEU8JCQk2+9tSfszErdv31b+nPLfgoSY9vWp92eKgoCUZGR/Jqa1CxEdHY0TJ04ASN6jpacIQizrTrk/Mzc3R6VKlf7anwHA169fsXr1auzevTvN/ZlY1p2ad+/eKX+Oi4vD27dv8fbtW2zatCnd+zOxrT3lHm3r1q3KwpeMIrZ1K+jQocNf+zMFGdmfiXXtJNLK2aSEpXVnJ/i/q/bgFc4CKIw7ypcvr1shmeTQoUNwd3cHALRq1QqNGzdWeUxUVJTyZ1NTUwDC61ZUxSkqasRMgQIFUK5cOQDA7t278fnzZwB/rz0gIACrV69WPiciIoK2TK1SrVo1nDp1SmlQkBovLy98+/aNsir6KM65ooWGdHEndsLCwpQ/b9q0Ce/fv1e2Iw8YMAC+vr5YsWIFTExMEBISgrZt28LHx0dXcjWKVCpFo0aN4O7ujjdv3ihbzzt27Ijp06fDxMQEUVFR6NGjB65cuaJjtZpl2LBhiIyMxJAhQ1CpUiXRf6dpCmNjYwwdOpTJUUGpSXnO07MnYAXFulmGtH8TIuX+Lbt/Dgjtz1KS2f1Zdl+7Am3sz8SydhInTpxQnuOM7tGy+7pJ+7PWrVvj5cuXiI2NzfT+LLuvG1Ddn4WEhCAmJgZv377N0v5MDGsHVPdoWUUs61ZHZvdnYl97ZvdnYl93doX/u2oeXuFMQC6XK2enZfSXLTo6Gr9+/crS3583b16Ym5tn+vlPnz5Vzu10dXXFzp07iY9LORtMIpGoXXdac8Syw7ozwtKlS9GkSRNERUWhdu3aWLx4sbKtDQD+/fdf/P79G6ampoiNjYVUKnxvRmxrl8lkmDhxIlatWgV7e3uYmJggLi4OK1euRIMGDbB3716sXr0aw4YNw4MHD+Dh4UFcv9jWnZqUv+9AcnVJhw4d0vVcMa095Tyq+Ph4NGvWTNmyVrFiReTMmRPjx4+Hq6srOnfujODgYCxbtgxr165VeS0xrVvxd12+fBlA8vlWVNHUr18fgwcPRrNmzVC/fn3ExsZixIgR+PDhA7HKRGzrPnLkCM6dOwcXFxcsWrRI9N9pmWXfvn1wd3dHrly5EBkZib59++Lx48eYO3cuNm7ciNOnT6ttXRTz2lOeczs7u3TtCRSwsu6MIqZ1p96/pfexYvgcSL0/W7JkCRo2bAhDQ0Pcv38fU6ZMSff+TIFYPgNT78/Wr1+PZs2awc7ODl5eXunen6VELGsXYu/evQAytkcDxLFu0v7s5MmTyvd0RvZnCsSwbsXjFPuzlJQqVQoLFixI9/4sJWJZe+o9WlYRy7pTsm/fPuzevRtyuRxBQUG4d+8eFi9enO79mQIxrj0l6c3ZpEbs686uZOXflaMGWu6EYuLz589KJ8pHjx5l6Lk3b97MkCM46c/Vq1czrf3jx49yJycnOQC5g4OD/N27d4KPffXqlfLvXL9+vdp1t2vXTg5Abm9vny3XnRnH082bN8sNDQ0F9QwcOFDpAl+1alXB1xHb2hWPNzU1/csRPuU537Fjh/L4li1bmFh3alL+vgOQd+vWLd3PFdPaPT09//p7jx07Jvg+L126tByAPG/evKJfd2qEPt8mTZqkPP7gwQPRrzskJETu4uIiByA/cOAAce2Kn9PjgC6mtZNIvfbo6Gh5lSpV5ADkjo6O8pCQEMHninntKddtZ2cnB9LeEyhgZd0ZfQ0xrTv1/k0div2bra0t8TMwPdD+t9HU/kyBWPb1Kfdnb9++JT4mPfszMa6dhK+vr9zAwEAOZGyPJpeLY92p92dPnjwRfGxa+zMxrTu9pGd/lhIxrJ20R0uN4vXSs0eTy8Wx7vSQkf2ZAjGvPSM5m9SIed1Z3ddrk6z8u3KE4SM1CChK6Q0MDFCmTBndiskAv379QsOGDREQEAArKytcvHhR7TxaR0dH5c9//vxRu+4/f/4AABwcHDQvXEcMGTIEr169Qv/+/f+agVinTh0cO3YM27ZtU7piu7q66kqmRomLi1O2onbr1g3R0dEAVM95v379lEZE27dvpy+UAqnbrnv37q0bIVrGwcFBWS1jZmaGxMREAOT3ec2aNQEkf5awMD4nJUKfb61atVL+nLLLQazMnTsXfn5+aNiwIbp27QpAvN9pmiD12s3MzLBkyRIAybNfDx8+rEN12iPl51tISEi69gQsoFh3WlW/Yif1/k0dirhitIYYPgdS7s/y588PExMT2Nraol69epnan4nhMzD1/qxUqVLEx2V0fyaGtQuxb98+JCUlAcj4Hk0M6069P6tQoYLgY9O7PxPDutNLRvdnYlg7aY+WVcSw7vSQmf2ZWNee0ZxNasS67uwO/3fVDnykBgHFl1rRokWVG/T0UqdOnTTHT2gDf39/NGjQAF5eXjAzM8PZs2fTnAmVO3duWFpaIjIyEt+/f1cmokjr/vHjBwCgWLFixNfS1bqzSsmSJbFjxw5MmzYNixcvRokSJXDz5k0AyQaJinWr+7cU09rfv3+P8PBwAMnjFIR+1yUSCSpWrIjv37+rGJgoENO6SaTcvObKlQsNGjRI93PFtHYLCwu4urri169fsLGxUbYKkd7ndnZ2yp/Dw8NVzLbEtO7UCP2up7zZFBoaSnyumNat+My6evWqStItKSnprxY4Dw8PeHh4AABOnjyJNm3aqLyemNZOgnTeq1Spooy/efNG8LliXrvC7RxAuvcECsS8bsX5dnBwSNNMLjViWnfq/Zs6FJ8JFhYWAMSzt1Xsz0ikd3+mQAz7+tT7MyHSsz9LiRjWLoRinEZG92iAONaden+mbjxKWvszBWJYd3pJz/4sJWJYu7o9WmrSs0cDxLHu9JLe/ZkCMa49Mzmb1Ihx3WIgK/+uHGF4hTMBxS+bwrgkuxMSEoKGDRviy5cvMDIywrFjx1C7du10Pfeff/4BADx+/Fhw3T4+PkqTCsXjWYO09tOnTyt/btKkCW1JWkHhhg0Acrlc7e+6YrYcq5ViKV3uu3fvnq45kGJFsZEJDQ3FixcvAJDPeVBQkPJnW1tbGtKoIfS77ufnp/yZtTVzyOddcXMVYPPzLSQkBLt27QKQbMyUkT2B2FGcbxcXFx0r0T4p929CpNy/KS4wxbK3VUdG92di2Nen3p+pIyP7MzGsncTLly/x9u1bAJnbo4ll3Sn3ZylnOqcmvfszsaw7PWR0f8bS2jMCS+vO6P5MbGvPSs4mJWJbt1jg/67agd0MSxb477//AEAUpfSRkZFo2rQp3r59C6lUin379qFZs2bpfr7CCfbr16/KRFTqdR85ckT5c8r2JpZIfc4TExOxZs0aAMmO4UJu4WIjZ86cyp+fP38u+Lsul8vx/PlzAICbmxs9gRRJeec8o87nYkNRFREbGyv4Pgf+l4QvUqQIc2YQQr/rJ0+eVP7Mwg211atX4+XLl3/9UVQJjRo16q/K/pYtWyofU7duXV1J1iqk864wzQSAggULUtekTRR7AkXLdZcuXTK0JxA7ivOdI0cOHSvRPin3b0Lt5in3bxEREQDEsbdVR2b2Z2LY16fenwmR0f2ZGNZOQlHdDGRujyaWdafcn6m7eZTe/ZlY1p0eMro/E8PaSXu01H8UpHePJoZ1p5eM7s/EtPas5mxSIqZ1iwn+76odeMKZQEBAAADAyspKx0rUExcXh9atWys3KNu2bUOnTp0y9Bq9e/dWtmWR1q1wRAaS21xYSMiQSL328ePHK78QVq5cqUtpGiVfvnzKL/CDBw/C398fgOrv+s6dO5VtX6xUd6ckKSlJmZBxdXUVnJXICu3bt0fu3LkBQNlmnvqce3h44MOHDwCgsblyusbb21v5M+nz7datW9i0aRMAoHDhwqhcuTJdgVogf/78KFeu3F9/wsLCACS3iKW8a29vb698jI2NjY4Ua5aPHz/+9f+pz3tISAgmT54MIHlGG0s3UVPvCQCgRo0aOlREH8X5NjEx0bES7ZNy/zZt2jSVqtjU+zfF50B239umRWb2Z2LY16fenwmNy8jo/kwMa09NUlISDh48CCA50ZiZPZpY1p1yfzZz5kzlzOqUZGR/JpZ1p9yfkcjM/kwMayft0VL/UZDePZoY1g2o7s9Sk5n9mVjWromcTUrEsm6xwf9dtQOf4UzAxcUFnp6e2LlzJ6pXr44CBQpAKpVCKpVmm6q/pKQkdO7cGTdu3AAAzJs3D507d1ZrJGFhYaHSnuLk5ISZM2di8uTJyouV9evXo3jx4ggLC8OMGTPg5+cHQ0PDbJV4TTnrDvh74/Lo0aO/HluwYEE4OTn9dezbt2/o1KkT+vTpgypVqsDJyQne3t5YuXIlPDw88OTJEwDA9OnTUa1aNS2uJONkde2zZ89Gr169EBMTo2xR3LRpE0qXLg1DQ0McPnwYGzZsAADY2Nhg/Pjx2lpKhsjqulNy+fJl5c9yuRyvXr3Klu9zBVldu5mZGVatWoXOnTsr3+dr165FyZIlYW1tjePHjysTEwUKFMDYsWO1tZQMkdV1ly9fHrVq1UKbNm1gb2+P379/Y+vWrbC2tsajR4+wbds2JCQkwNDQEBs3bsw2Y1U0+bsOqH6nKUjZuphdyOraS5UqhRYtWqBt27aoUKGC8rN9w4YN+PnzJw4ePKh8zQkTJmSrCuesrD31nsDGxgZhYWHYtm0bypUrh3z58ql8vpH2BLpAE7/vitews7ODn5/fX0n3GzduQCqVwtTUVO1r0Car6065f7t06RI6dOiAmTNnIk+ePHj58iXGjx//1/6te/fu2X5vC6juz9zc3JCYmIgXL15gzZo1yt/xOXPmpHt/JoZ9PfD3/qx27dqYO3cumjZtCjs7O3h5eWHv3r1YtWoVgPTvz8Sy9pRcvnxZOU4hsx1oYll3yv3Z9evX0bRpU8yePRvFixdHcHAwDhw4gAULFgBI3/5MLOtOuT/7559/lGOQvn37hkOHDmHDhg0Z3p+JZe2aRizrTr0/c3FxgVQqha+vL27cuIEVK1YozWDTuz8Tw9o1lbNJiRjWrUDT1zTaREz/rqJCzlFhwYIFcgAqf2rXrq1raUp+/PhB1Kjuz48fPwRfb8iQIYLPk0gkcg8PD3qLSwe1a9dO97rd3d1Vnv/ly5d0PTc7nXMFWV27XC6Xz5s3Ty6VStU+18nJSX779m26i1ODJtatoHPnznp3zuVyuXzVqlVqz3uhQoXknz59orewNMjqum1sbNJ8nqGhofzEiRP0F6cGTf6uy+XC32k5cuTQ/mIySFbXnt7nurq6ymUyGf0FqiEra9f0noAmmvh91/R7hgaa0qxu/2ZsbKzcv4lhbyuXp70/MzY2li9dujRDrymWtcvlmt+fiWntChR7NENDQ7m/v3+mXkNs6161apXc0NBQ8Jynd38mlnWnZ39mZ2eXof2ZWNaeFgrdvXv3TtfjxbLu9HzXGRgYyKdOnZru/ZkY1q6N/ZkY1q1ATPszMf27igle4Uxg2rRpsLa2hru7Oz5+/IiYmBgAbA8Q37x5M5o1a4YpU6bg8+fPf1W+devWjbkZt7ly5cKKFStw/fp1vHv3DgEBAZDJZJBIJEhMTFSun9VzPnPmTLRq1QpbtmzB6dOn4e/v/5dZSbVq1XDmzBk4OjrqUKV2CA8Px5kzZwAAJUuWhLGxsd68z8eOHYtatWph+PDhePnyJeLj45WxmjVr4tKlS0zdwXV3d8fdu3fx+PFjeHt7w8/PDwkJCX+1nvfr1w9t27bVoUrtI/SdZm9vr2NlmufOnTu4efMm7ty5g58/f+LPnz+Ijo6GRCKBTCZTfs61a9cuW1T3cjhZZfPmzWjevDk2b96M58+fIyQkBC4uLqhfvz7Gjh2rnHEslr0taX9maGgIV1dXNGnSBIMHD0aRIkUy9JpiWTvwv/3Z1q1bcffuXfz8+RMxMTGwtrZG8eLF0axZMwwePDjd+zMxrR34e4/WpEkTpQdBRhHbuseOHYvatWtj/fr1uHnzJvz8/GBqaorixYujQ4cOGDp0aLr2Z2JZd+r9WVBQEBISEmBnZ4eSJUuicePG6N+/PxwcHNL9mmJZu6YRy7pJ+7PY2FjY2NigSJEiqFWrFvr27Zuhz3exrF3T6Ou6tQ3/d9UOErk8DStkDofD4XA4HA6Hw+FwOBwOh8PhcNJB9hhYyeFwOBwOh8PhcDgcDofD4XA4HNHDE84cDofD4XA4HA6Hw+FwOBwOh8PRCDzhzOFwOBwOh8PhcDgcDofD4XA4HI3AE84cDofD4XA4HA6Hw+FwOBwOh8PRCDzhzOFwOBwOh8PhcDgcDofD4XA4HI3AE84cDofD4XA4HA6Hw+FwOBwOh8PRCDzhzOFwOBwOh8PhcDgcDofD4XA4HI3AE84cDofD4XA4HA6Hw+FwOBwOh8PRCDzhzOFwOBwOh8PhcDgcDofD4XA4HI3AE84cDofD4XA4HA6Hw+FwOBwOh8PRCDzhzOFwOBwOh8PhcDgcDofD4XA4HI3AE84cDofD4XA4HA6Hw+FwOBwOh8PRCDzhzOFwOBwOh8PhcDgcDofD4XA4HI3AE84cDofD4XA4HA6Hw+FwOBwOh8PRCDzhzOFwOBwOh8PhcDgcDofD4XA4HI2Q5YRzfHw89u7di2bNmsHNzQ2mpqbImTMnqlevjhUrViAwMFATOjkcDofD4XA4HA6Hw+FwOBwOh5PNkcjlcnlmn/zx40d069YNL1++FHyMs7Mz3N3d0axZs8z+NRwOh8PhcDgcDofD4XA4HA6HwxEBmU44e3t7o0qVKvD19U1+IYkEtWrVQqFChfDnzx9cu3YNMTExAAAjIyNcvHgR9evX15xyDofD4XA4HA6Hw+FwOBwOh8PhZCsynXCuXbs27ty5AwBwc3PDmTNnUKZMGWU8MDAQXbp0wfXr1wEA9vb2+PbtG2xtbbOumsPhcDgcDofD4XA4HA6Hw+FwONmOTM1wvnDhgjLZbGxsjLNnz/6VbAYAR0dHnD59GgUKFAAABAcHY9myZVmUy+FwOBwOh8PhcDgcDofD4XA4nOxKphLOGzduVP7cu3dvlC5dmvg4CwsLzJs3T/n/W7duRWJiYmb+Sg6Hw+FwOBwOh8PhcDgcDofD4WRzMjxSIzIyEo6OjoiLiwMAPHjwANWqVRN8fFxcHJycnBAREQEAuH79OurVq5cFyewil8sRGxuL0NBQREVFISkpCQBgYGAAc3Nz2NrawszMDBKJRMdKNU9SUhLCw8MRGhqKxMREyGQySKVSGBoawtbWFtbW1jAwMNC1TI0jl8sRExOD0NBQREdH/3XOLSwsYGtrC1NTU2bPeVhYGMLCwpCQkAC5XA6pVAojIyPY2NjAxsYGUmmm7olla+RyOaKjoxEaGoqYmBgkJSVBIpFAKpXC0tJSec5ZJDExEWFhYQgPD//rnBsbG8PGxgbW1tbMnvOoqCiEhoYiNjZWec4NDAyU59zExETXMrVCQkKC8pwnJiYqz7mJiQlsbGxgZWXF9DkPCQlBXFzcX+fcysoKtra2MDY21rVMrZCQkIDQ0FBERESonHNbW1tYWVkx+Z0ml8sRGRmpPOcymUxvznl8fLzynCclJSnPuampKWxtbWFpacnkOZfJZIiMjERoaOhf59zQ0BDW1tawsbGBkZGRrmVqhbi4OISGhiIyMlJ5zg0MDJTn3MLCgtlzHhERgdDQUMTHx6ucc1tbWxgaGupaplZIfY2qOOdmZmawtbWFubk5s+dccY2akJCgPOdGRkbK9znL5zwkJERv8xKKa9SUeQnFNSqreQmhXJQ+5SVS5qIUeQlWc1E0yHDC+cqVK2jcuDGA5Arm0NDQND9kGzVqhKtXrwIApk+fjgULFmRSLpvI5XIEBwcjODhYmcgXwtjYGPb29nBwcGDizR4XF4c/f/4gPDwc6n4VJRIJrK2t4ezszERiRi6XIygoCMHBwYiPj1f7WBMTE9jb28Pe3p6Jcx4bG6s85+qQSCSwsbGBs7MzExfpcrkcgYGBCA4ORkJCgtrHmpiYwNHREba2tkyc8+joaAQEBChvPAohkUhga2sLZ2dnJi7SZTKZ8pyn1d1jZmYGBwcHZnwOoqKiEBAQgMjISLWPk0qlynPOwgWbTCbDnz9/EBISotyoC2FmZgYnJydYW1tTUqddIiMjERAQgKioKLWPk0qlsLOzg7OzMxOb96SkJPz58wehoaFpnnNzc3M4OTnBysqKkjrtEh4ejsDAQERHR6t9nIGBAezs7ODk5MTEOU9MTFSec5lMpvaxFhYWcHJygqWlJSV12iUsLAyBgYFKY3ghDA0NleechZuKCQkJ+PPnD8LCwtI855aWlnB2doa5uTklddpDLpcjNDQUQUFBiI2NVftYIyMj2NnZwdHRkYlzHh8frzznaaVLrKys4OzsDDMzM0rqtIdcLkdISAiCgoLSzEsYGRnBwcFBL/MSinPOQpGQIhcVFBSUZl7C2NgYDg4OepmXYCkXRZMMJ5zXrl2LMWPGAACqVq2Khw8fpvmcKVOmYOnSpQCAdu3a4fjx4xlXyihJSUnw9vZOMxGTGgsLC+TNm1fUG/fw8HB4eXml+SWeEolEAldXV1FfoCclJeHXr19pXpSnxsrKCnny5BH1OQ8NDYWPj0+GzrlUKoWrq6uoL9ATExPh6emZ5gVaamxsbJA7d25Rb9yDg4Ph6+uboecYGBggb968sLCw0JIq7ZOQkABPT880L9BSY2dnh1y5col2E6e4mebn55eh5xkaGiJv3ryivkCPi4vDr1+/0rxAS42DgwNcXFxEfc4DAgLw58+fDD3PyMgIbm5uor5Yi42NhaenZ5o3EVPj5OQEZ2dnUZ9zf39/BAYGZuh5xsbGcHNzE/XFWkxMDDw9PTM8IjBHjhxwdHQU9Tn39fVFSEhIhp5nYmICNzc3URcOREdHw9PTM80bSqnJmTMnHBwctKRK+8hkMvj6+iI0NDRDzzMzM0PevHlFXTgQGRmJX79+pXlzITW5c+eGnZ2dllRpH5lMBm9v7zSTb6kxNzdH3rx5RV04kNm8RJ48eWBjY6NFZdolKSkJXl5eaRaIpMbS0hKurq6izkuEhYXB29tb7/IStMlwFuPTp0/Kn93c3NL1nLx58yp//vjxY0b/SmZJSkrCz58/M5xsBpKrx378+JHhzU92ITQ0FL9+/crQGxxI3vD++vUrw5uf7EJSUhJ+/PiR4WQzAERERODnz5+iPefBwcEZ/lAHkjc/np6eGd78ZBcSExPx/fv3DCebgeQvQk9PzwxveLMLgYGBGU42A//7bMzo5ie7kJCQgO/fv2c42QwAISEhGd7wZicCAgIynGwGkt8nP378SLNSMrsSFxeHHz9+ZDjZDABBQUGZ+mzMDsjlcvj5+WU42Qz8732Smc/G7EBsbCx+/PiR4WQzkPw++f37t2jPuY+PT4aTzUByxeD3798z9T7JDsTExODHjx+Z8qPx9/eHv7+/aM+5l5dXhpPNQPJn4/fv39OsmsuuZOV66/fv3wgICNCCKu0jk8kyfb2leJ9k5rMxO6C43srM3tvHxwdBQUFaUKV9ZDIZfv78manrrejo6Ex/NmYHwsLCMp2XyOxnY3ZAkZfIzPVWZGSkqPMSmb3eUuQlwsLCtKSMPTKccE75IZojR450PcfFxUX5c3BwcEb/Smbx9/fP0oVWbGxsppI5uiY+Ph7e3t5Zeg1vb29Rbl59fX0zlYRSEBMTA39/fw0qooMmfle9vLxEuZHJ6u9qVFRUppI5uiY6OjpTiUcFiptLYtzIeHl5ZelCS9GmLjYiIiKy9Lsql8tFeYNF8bualc+nsLAwUe6PwsPDs3RxrUhqiC0Jp/hdzcrnU3BwsCgvWEJCQrJ001/R5SW2c664yMzK51NgYGCmikx0TVBQUJZu+icmJoryRmpSUhI8PT2zpNvf3z9TRSa6Jj0jsdShiWs9XZCYmIhfv35l6TV+//4tyhup/v7+WbrpHxcXJ9q8hJeXV5Zew8fHR5Q3Un///p3lvMTv3781qIgOcXFx8PHxydJrZPVaT5/IcMI55ZdPeucUpXycWCvWNE1iYqJG7oaFhYWJLvGqqUSK2BIy8fHxGrm4DAkJEV3iVRMVHopWfTERGxurkc+84OBg0SVeNXHOZTKZ6JJw0dHRGqnSDQwMFF3iVRPnPCkpSXSVIpGRkRq50AgICBBVQkYul2vkZpjCWFJMKIxPs4oYz7km3udxcXGiS7wqTK2zitgqXhVeBFklJiZGdB0sISEhGvkeFlvRgEwm08h+OyoqSnSJ1+DgYI18JovtfZ6YmKiR/XZ4eLjoEq+aurYUW15CYfCcVRRmmmJCU+9PsZ1zXZHhhHPKuyDpnceVclab2L54tEVQUJDGLjLE9MuuqUQ7IL7Eq6bOk9gSr5pKtAPJ7xsxJV41dc7FlniNjY3VWDJBbIlXTW1ikpKSRDU6SFOJdiD5nIspCaepc56YmCiqxGtUVJTGLizFlHjVVNIVSE68iqkQQ1OJdkBcCRmF6a8miImJEVXFa1hYmMb22mI655pKtAPiS7wGBwdrbN8lpmtUTZ5zsSVeNZVoB8R1zjWVaAeS8xJiSrxq8jyJKS+hqUQ7IM6CMF2Q4YRzSnOX9FbWpvzAZcG9VRNoMnkUEhIimgu19Dj9phe5XC6ai3OF46+mEFPyUZNJM5lMJppZzjKZTKNrF1PVpybXnZSUJJqETGJiokar9vT1fZ6QkCCahEx8fLxGq/bE9D7XpNa4uLgstXXSRNNa9fWcx8TEiCYhEx0drdFuQjGdc01+D0VGRoomIRMVFaXRohYx3UDW5O9nWFiYaBIyERERGi1wENM51+T7PDQ0VDR5ifDwcI1qFUteAtDs+1xM1yuaPEdiykXpkgwnnC0tLZU/p/dubcrHpXy+viKXyzX65SuXy0VTAajpimSxVDjLZDKNfqElJSWJ5stcX8+5pjfYYlk3oL/nXF/XDUDjSQSxrF3TOsWSjAH4OdcU/Jxnf/T5s11f166v6wY0r1UsCWd9/XwDNHuONJ3n0Cb6+j6XyWQazR1pOs+hTfT5fa4rMpxwdnBwUP6cXvOylMZR9vb2Gf0rOelALG9yuVwOiUSikdeSSCSiWre+oum1i+XfUl/XDejv2vV13YD+rl1f1w3o79r1dd2A/q5dX9cN6O/a9XXdgP6uXZ/Xrc9rz86vpy20oVNf1y6WdeuSDCecixYtqvzZ09MzXc9J6fZarFixjP6VzCGRSDSWdFVgYGCg0dfTFgYGBhodqSGmdWsSbfwOaQtNr11fz7lY1g3o79oNDQ01+npiWTegv+dc0zo1/TukTfT1952fc82hr+dcLOsG9Pf3nZ/z7Pt62kJf1y2RSCCVZjglpBaxrF1fz7mmz7c2foe0hb6ec12S4d+M4sWLK39++/ZtusrIX7x4QXy+PmNlZaWx17KwsBBN8lHTI1XEMqJFIpHAwsJCY6+nyd8fbaNprWI551KpVKMz68WybkDzWjX53tEmhoaG6TbTTQ/6+j6XSCQwNzfX2OtpExMTE40mUMR0zjX5Ptf056U2MTU11egFhpg+2zX5+2loaPiXqXh2xtzcXKP7bDG9zzWp1cjICEZGRhp7PW2i6X2Hvr7PNf15qU00fY709X1ubm4umuSjPuclNKlVLOsG9DcvoUsy/GlQvXp15QYxKioKz549U/v4uLg4PHr0SPn/9erVy+hfySROTk7Z8rW0jZmZmcY2cRYWFqK5QAX095ybm5v/ZTaaFaytrUVzgSqRSPT2nFtZWWks8WprayuaC1RNn3NHR0eNvZa2sbGx0Vji1d7eXjRVcJo85xKJRFRjx+zs7DR2Ueng4CCaC1SpVPrXeLmsvpadnZ1GXosG9vb2Gku8Ojo6iuacGxgYaOycGxgYwMbGRiOvRQNNrRtI3seIpUDG0NBQY5/HRkZGsLa21shr0UCTew8xnXNjY2ONvTdNTExEUywB6O81qqmpqcYShubm5qIplgD095ybm5trLH9kaWmpsRwHy2TKNLB+/frK/9+9e7fax584cQIREREAki9OatWqldG/kkk0lXg1NTUV1RcaoLkPJTF9uAHJCXJNfCiJLdEukUjg7OyskdcS2znXVOLVyspKNIl2QLNJOLGdc1tbW40kS8WUaAc0e841meCggaYSr2JKtAPJyVJNJCYkEonozrmDg4NGkigODg6iqf4DNJd4FVuiHdDc55KTk5NoEu1AcrJUE+fKwMAAtra2WRdEEU2ec7EkXYHkxKsmEuRiS7QDmku2Ozs7i+qcayrxamJiIrqKT329XtFUPsHMzExUiXYAepuX0BWZ2vEMGzZM+bO7uzvevXtHfFx0dDRmzZql/P/BgweL6mJK2+TMmTNLm86gL574cPCCqL7QgOQPuKzcQZYlJeHltiOICw7ToCrtI5FIkCtXriydr4B3X/H5xFUNqqKDlZVVllpYkhIS8GLzQSRERGlQlfbRxDn3e/ke38/d1qAqOtja2mbpZlhiXDxebDqIxOhYDarSPopznhW8H72C57WHGlJEDzs7uyxtXuOjY/Bi4wHI4jXrIK1tpFIpcufOnaXX+HnzMXzvv9SQIno4ODhk6WZYbFgkXm46CLlIHO0VGBgYIGfOnFl6jW8X7+DP8/caUkQPR0fHLN1IjQ4KxasthwGRGe0YGRnBxcUlS6/x8cRVBL37piFF9HB2ds7SDdBI/0C82X5Mg4roYGJikqWEglwux7uD5xH+3VuDqujg4uKSpZthYV5+eOt+UoOK6GBmZpalGw1yuRxvdp9ElM8fDaqig4uLS5byEiHfvfB+/znR5SXMzc2zdDNMLpPh5fajiA0I0ZwoSmT1GlUT1zy6wNLSMss3w7J6natPZCr727x5c9SsWRN3795FfHw8WrRogTNnzqB06dLKxwQFBaFr1674+vUrgOTKncmTJ2tGNSOYmpoif/78+PnzJ5IyeLHl8+QNLo5dhNjwSNg4O6DW4O5aUql5JBIJ8uTJA4lEgtDQ0Aw9NyEmFjdnrMXnK3fx89YTTLh3FGbW4pmRZW5ujnz58sHT0xMymSxDz/W8+wyXJyxFfHQM7HPlQKWurbWkUvNIJBK4urrCy8tL2fGQXuIjo3Ft8nJ8v/MUv5+/w9ibh2BsJp72FUtLS+TNmxe/fv3KsGHm96sPcHnKcsgSk+CQNxfKtGygJZWaRyKRwM3NDb9+/UJkZGSGnhsTGo4r45bA6+kbBH38jpGXPGCowdnI2sba2hp58+aFl5dXhs/5pzM3cH3WWkAigUPe3ChWr7qWVGoeqVSq/HyLjo7O0HOjAkNwefRC+L75iEifPxhyciukIqr8tLGxgVwuh7d3xhML/x06j9uLtsDQxBj2rjmRv0p5LSjUDgYGBsp9TGxsxm4ORfz+g4sjF+DPp++IC41Av31rRHWhqmi39/X1zdDz5HI5XrufwL3V7jC1ssSEe0eRp4x4/E0MDQ2V5zwuLi5Dzw319MGFkQsQ/MML8vgEdNu8UFTnXFH96Ofnl6HnyWUyPNt0EI+3HsRDew9MenQSOQrn14ZErWBkZIT8+fPjx48fSEjI2A3BoC8/cWHkfIT5+MPIyBDtlk7VkkrtoKiECwgIyNDzZElJeLTSHS/2nsIL9+OY/PgU7F3Fk5gxNjZGgQIF8OPHj3T5NaXkz39fcGHUfEQGBMPcyhLNpo/QkkrtoLixFBQUlKHnJSUk4u7Czfjv+GW8P3EFkx6dhLWzeEajZSUv8fvle1wYtQAxoeGwdrBD3ZF9tCNSC0gkEuTOnRsSiQQhIRlLGifGxePWrHX4eOEWvl29j4n3j8PCTjwjk8zMzJTnPKN5CcWeX0xd1woUeQlvb2+EhWW8gNHOzk6UiXZdIZFn9Gr4//H29kblypXx+/dvAMm/dLVr10aBAgUQEBCAa9euKS84DQ0NcenSpb9GcXD+R0JCAry9vREVlb7qzR9XH+DS5OVI+v9Nn9TAAMPP7UTJJnW0qFLzyOVyBAcHw9/fP10fcnFhEbg0ZhG8nr1VHivRuBaGn90JAxG1ngNAfHw8vLy8EBMTk67Hfzl9HVdmrYX8//+dDI2NMfraPhSuWVmbMjWOXC5HYGAg/vz5k65EXHRgCC6OnI/f/31WHivfvikGHtkoqpZUIHmevZeXV7qSMnK5HB8OX8SNhZuUx4zNzTD+zhG4VSit5pnZD7lcjj9//iAwMDBd5zzydwDOD5+LgC8/lceq9m6P3u4rRJWYAIDY2Fh4eXmlKykjl8vxxv0E7q52Vx4zs7HCxAcnkKtEYW3K1DhyuRz+/v4IDAxM1+PDf/3G2aGzEfLrf4m7uqP6oPPaOVpSqD2io6Ph7e2N+Pj4NB8rl8nwbOMBPN52SHnMyskBkx+fgmN+V23K1DgymQx+fn4IDg5O1+ODv3ji3LA5CPf7XxKn2YyRaDV/vLYkao2oqCh4e3unKxEnS0zCo5W78GLfaeUxuzw5MfnxKdjmyqFNmRpHJpPB19c33YUDge++4uyIuYgK/N8FfbtlU9Fo4mAtKdQeERER8PHxSVciLikhAfcWbMbbE1eUx5wK5cPkhydg6Sieme0AkJSUBF9f33RfoPu9eI9zo+YjNux/hQbdty5CzUHdtCVRa4SHh8PHxyddibjE2DjcmrkWHy/dUR7LXbqY6IpkACAxMRE+Pj7pLhbxefAK58cuRHz0/65v+h9YK6oiGQWhoaHw9fVN1zVqQlQMrk1egW+3HyuP5a9STnRFMkByXsLHxyfdxSK/bj7B+QmLkfT/3WkSqRRDT20TVZEMkLx3DQkJgZ+fX/ryEuGRuDJuCTwfv1IeK1q3muiKZIDkvIS3t3e6i0XMzc2RJ08ejRql6wK5XI6goCD4+/un6xpVKpXCxcUFdnZ2orsm1SWZTjgDwMePH9G1a1e8evVK8DFOTk5wd3dH8+bNM/vX6A1xcXEIDQ1FSEiIyibW0NAQtra2eOF+HGemLVd5rhirZBTIZDJEREQgJCSE+OVmaWkJRMRgV/uh+JMiCaWg5qCu6LZlkSjf+LGxsQgNDUVoaCjxnNvZ2eHBuj24vGijynMt7G0x6eEJ5ChSgJZcjSGTyRAeHo6QkBDijRYrKyskBIZiZ9shCPH6rRJvOGEQ2i+fRkOqxomNjUVISAhCQ0NVLlwUsxJvLNiEW+t3qzzX2sUJUx6fgn3erLXv64KkpCTlOSdtaKytrRHj/Qc72w1BuL9qorLlvHFoPnMUDakaRS6XK9/nISEhKptYY2Nj2Nra4uKU5XjoflTl+Q758mDyo5OwziG+OWFJSUkICwtDSEiIys01iUQCa2trhH/1wq4OwxAVHKry/E5rZ6PeqL6U1GoOuVyOmJgY5Wd76nNuYmICaysrnBo5Dy+PXVB5vkuxgpj44ISoqmQUJCYmKs956ptrEokENjY2CHrzGe5dRiE2QvX7vteuZajetxMtuRpDLpcjOjpaec5Tb61NTU1hZW6Bo4Om4b/zN1We71q+JMbfOQJTS/G1ZyYmJio/31LfXJNKpbCxscHvx2/g0WMsEmJUb7gOPLoJFTo0oyVXY8jlckRFRSEkJATh4eEq59zMzAzmRiY42GciPt9UHZFUsEZFjLm2D0YiNBxKSEhAWFgYgoODVW6uSaVS2Nra4uf1h9jff4qyOEYZF2mRDJB8ziMjIxEaGko85+bm5jCVGGBv1zH48Vh1RJJYi2SA5ISU4vMt9TlXzOf+dPo6Dg+fpSyOUSDWIhkg+ZxHREQoz3lqLCwsYJQox+5OI+D9SnVEkliLZID/nfOQkBCVG6oGBgaws7PD6/1ncHLCIpXnirVIBkhfXkISHY9d7YfC/6PqiCSxFskAaeei7OzsYGtrKypfofSQ1jm3srKCra0trKysRPle1jVZGqhcrFgxPH78GIcOHcLBgwfx7t07+Pv7w9bWFgUKFEDbtm3Rr18/jbrdsoyJiQly5MgBZ2dnJCYmQiaTQS6Xw8DAAIaGhsnGOgLtWLERkdjYvJ8oq2QUFyQ2NjZISkpCUlISZDIZpFIpDAwMYGBggJiwcBgKfLjd3XYQjgXd0HjSEMrKs46pqSlcXFyQI0cOJCYmKhOQKc+5XW7yzMCo4FBsaN5PlFUyigsSW1tblXNuaGgIqVSKCHNLwU351RXb4FQwL2oN6UFZedYxNTVFzpw54eLiojznEolEuXaJRALbXGQzg3C/AGxo3g8T7x2FmY24jFgUm1M7OzskJSUhMTERcrn8r3MeYmAMqcCc/7OzVsGxQF5U6d6GrvAsIpFIYGZmBjMzM5Vzrvh8k0gksHEhJ5SDfnpjY8sBGH/rEIzNxdW2ZmBgAHt7e9jb2wue84B4GSQCm7ejY+bBIV8elG3VkLLyrCGRSJRu5S4uLsrPOMU5NzQ0hFwuh7UzeU6k38dv2NZ+iCirZAwNDeHg4AAHBwfl73rqcy4NiwYELsT2DZoG+7y5Uax+DcrKs4ZEIoGFhQUsLCyQM2dO5R4u9Tm3sCebr3m9fIedXUdh6KltoholAySfc0dHRzg6Ogqe8wRX4W6H3T3Hwi6PCwpU/Yei6qwjkUhgaWkJS0tLyGQy4jmXJSXB3Jb8Xf3t/jN49J2IfvvXiu4C1sjICI6OjnBwcFB+vqW+XokUuDEuS0rC9k4jRFkkI5FIlJ4kqc+5oaEhDAwMkJSQABMr8o2j95fv4NCIWaIskjE2NoazszOcnJwEr1EDBc55Ynw8trQZJMoiGcXNcWtr67/Oecpr1PiYWMEq5pfHL+Lk5CWiLJJJzzn3FshLxEfHYGOLfqIskklPXiI2IhLGpuS8xCOP43Aq6CbKIpnUuShSXoJF0nPOOZknSxXOHN1wft5anJ29mhgTc5VMWgT/8sGSKm3+asFNycAjG1GhI5uV9McmLMS1lduJsQLVK2Ds9f2irJJJC//P37GsWjti9aNEKsXwcztRqmld+sK0jFwux75BU3F/xyFivHjDmhhxfpcoq2TSwvv1eyz/tyPiIlUr3w2NjTH66l4UrlVFB8q0i0wmw65uo/Ds8DlivFzbxhh0dJPoklHp4fvD51hVtysS41THUIi5SiYtkhITsaXNILw9f4MYr9qrHXrvXsnkBv/DtXtY37QPZISRBGIdJZMeEuLisK5xL3xJ0XadkjojeqPzujlMnvNXp69ga9vBxLZVKycHTHp0Ek4F8upAmXaJj47Byjpd4Pn0NTHeZNpwtFk4kbIqOjzedxLuPccSY2IdJZMeYsLCsbxGB/i++0yMt106RZRFMunh1qa9ODR8JjEm1lEy6SEiIAhLq7ZF4PdfxHi3zQtEWSSTHi4t2YRTU5cRY7lKFRVlkUx6CPHxw9IqbRDqQ57p33ffGtEVyXA42kBct9Q5AIBmM0ehau/2xJjXy3fY2WUkkjJo8CAG7PPmxvBzuwSr/Nx7jsX3h88pq6JDu2VTUb5dE2Ls+4Pn8OgzIcPD/sVAjiIFMOTUNmKVn1wmw/ZOI+D9WrWFTexIJBJ02zQfJRrVJMY/XL2LA8NmZtiQTgzkKVsCA49sICZWE+PjsbnNIPh9Um1hEztSqRS9d69AwRoVifFXJy/jxKTFlFXRoUC1Cui7l3wTVVElE+SZcTO+7I6BoSH6H1oP1/IlifFHe07gwvx1lFXRoXiDf9Fjm2obLgDEhEVgQ7M+CPP7Q1mV9jEyMcGQk9uQoyi5yu/WBg/cWLuLsio6lGvdCB1WzSDGIgKCsKFZH+LNZbFjbG6G4Wd3wN6NXOV3adFG3N91hLIqOlTp0RYt55ITziHev7GxRT/EEm4uix0zG2uMuOAOa4HOpZOTl+D50fOUVdGhzrCeaDB+IDEW8PUnNrUeiIQMGsyKASsnB4y44A5zgVFYB4fPwn8XVccpsUDjyUNRY0AXYsz3v0/Y1nG4ymgdFrDL7YIR53fBRKDIb2+/Sfhyh3xzmcPRJ3jCWYRIJBL02LYYRetWI8bfnr+BI2PmMZmMcqtQGv0PriNW/yTGxWNTq4EI+OapA2XaRSqVou/e1chXuSwx/uzwOZyZsYKyKjoUrlkZvdxV55YDQFxkFDY074cQb9U5z2LHwMgIA49sRK5SRYnx+zsO4fLSzZRV0aFU07rosmEuMRYdEoYNzfoiIiBj7uFiwMjUFENPbYNToXzE+LVVO3Br0166oihRoWNztF06hRgL9wvAxub9EBOmOj9R7JhaWmD4uV2wy5OTGD87ezUe7ztJWRUdqvfthKbTRxBjwZ4+2NRq4F/GU6xgYWeDERd2w8qJPFLl2LgFeHXqMmVVdKg3uh/qjOhNjPl/+o4t7QYjIR0mq2LDOocTRlzYDTMbsmHc/sHT8OHaPcqq6MCLZHiRTEpYLpJxKVoQQ3mRjAq8SIa9IhkOJyPwhLNIMTQ2xqDjW+BSrCAxfnvjHtxY505ZFR3KtmqIjmtmEWORgcHY0LwvokPT56AtJozNzTDszA445MtDjF9avInZKpnK3Vqj1fzxxFiojx82tuiHuKj0OeuKCTMba4w4v0uwSubU1GXMVsnUGtIDDScMIsYCv//C5tYDmUxMWDraY8QFd1jY2xLjh0fOZrZKptHEwag5qCsx5vvuc3KVDIOJCdtcOTD8/C6YWlkS43v6TcKXu08oq6JDq/njUalrK2LM8+lr7OoxhsnEhFOBvBh6ZjuMCDMg5XI5dnYbDc/nb3WgTLtIJBJ0WjMLpVvUJ8a/3H6M/YOmMpmYyFWiMAYf30L0KZAlJmJr+6Hwff9FB8q0S3qKZI6NW0BZFR3SUyQT+MNLB8q0S3qKZM7OWkVZFR0K16qCnrvI4yUURTKhvv6UVWmf9BTJXFm+lbIqOqSnSCYyKISyKg4n+8ATziJGWSXjTDZlPDZuAbMVE/VG9UW90X2JMf9P37Gz6yjI/n/QPUsoqmSETGgODJmObw/YrJhoOn0EqvXpQIx5v/4Ajz4TmLxItc+bGyPOu8PEwpwY9+gzAV6v3lFWRYe2S6egfPumxNj3hy9wcOgMJs95jsL5MfT0dsEqmZ1dRzFZMSGRSNBl43yUbFKbGP9w9S6zY0XylCmOgUc3EqtkkhISsK39UAT/8tGBMu0ikUjQy305Cv1biRh/dfIyzs9bS1kVHQpU/Qd9960hJqMSYmKxpc0ghPuTPSvEjNTAAP0PrkPef0oR44/2nMD11Tspq6JDsfo10GM7+TMsNjwCm1sPRFQIewUTyiKZ4oWI8Zvrd+OegGeF2EmrSGZzm4FMjhVJq0jm4sINeHb4LGVVdKjSvY3aIpmt7QYzOVZEUSRjk5NsfH5qylK8vcBmwUStIT3QcOJgYizw+y9s78RmwQSHkx54wlnkOOZ3xbCzO2BEcMdNbt8ZzuSICQDosHIGyrZuSIy9u3Qbp6aR7zCLnZzFC2HwiS1Ew7ikhARsbTeYyRETEokE3bcuQtF61YnxF8cu4OKijZRV0SHvP6XQ/9B6SAhO9vHRMdjcZhCTIyYUVTL5q5Ynxh+4H8WtDR6UVdGh0L+V0NuDPCYnJiw5McHiiAkDQ0MMOLwBucsUI8avr96Jhx7HKKuiQ8nGtdF103xiLCIgCJvbDGJyxISRiQmGnNoG58L5ifHzc9fi5YlLlFXR4Z/2TdF22VRiLMT7N7a2H4rEeFUzTbGjHCXjmosYPz5xEd5fuUNZFR2q9+mIZjNHEWMBX39iZ5cRTCYmkotk3AWLZA4Om8lswUS9UX1Rd1QfYsznzUdmCybSKpLx6DuR2YIJdUUyPx6/wgFGCyYUo2RIRTJyuZzZggkAaLtkMv7p0IwY+3TjAY5PWEhZEYeTPeAJZwbIX7kc+u0nV8lEh4Rhc+uBiI2I1IEy7SI1MEC//WvhVrEMMX5l2VY8OXCasio6FK1bHT13LCHGwv0DsaXdECbvnhsaG2Pw8c3IWaIwMX5mxgq8OXuNsio6lGlRH53WzibGgj19sK3jMCZNOYzNTDH09HY45nclxo+OnY+PNx5QVkWHSl1aofXCicSY/6fv2NV9DJOdHGbWVhhx3h02uXIQ4/sHT8OPJ6/oiqJEzUHd0HjyEGLM6+U77Ok/icmLVEsHu+RRMg52xPjuXuPg8/YjZVV0aDh+IGoN6U6Mfbv/DIdHkj/3xY5NTmeMEBglI5fJsKPzCPz5+pO+MAq0nDsWlbu3IcbeX7mLU1PZLJhwzCdcJMNywQQAdFw1E2VaNSDGXh6/iIsLN1BWRAd1RTIJMbHY3JrNgom0imQe7j6Gm+t30xVFCXVFMopODhYLJqRSKfrsWSVYJHNjrTseuLM5+pLDUQdPODNC+bZN0GbxJGLM991n7O49nsk5iCYW5hh2ZodgYmJv/0lMzkEEgKq92qPJtOHEmOfT19g3aBqTiQlzWxsMP7dLMDGxq/sY/P7wlbIqOtQd0Ru1h/cixr7cfoyjjM5BtHZ2xPDz7sTEhCwpCds7DWdyDiIANJk6DFV6tiPG3p6/gTOMzkG0y5MTw87sIM64TYyLx5a2gxH2+48OlGmf1osmoWybRsTYs0NnmZ2D6FwoH4ac3EqccRsXFY3NrQcyOQdRIpGg8/q5KFa/BjF+d9tB3Nmyj7IqOuQuXQwDDq8nF0yEhjNbMCGRSNBz51IUqPYPMX51xTY83n+KrihK5K9cDn08VhJj4f6B2NJ2MOJj2CuYkBoYoP+BdchTtjgxfmbmSrw+c5WyKjoUrVsd3baQqzuDf7FbMKEokhHq3jk2bgGzBRNlWtRH+xXTiDGWCyYURTJC3TsHhszAj8cvKavicHQLTzgzRKNJQ1CxS0ti7NXJy7gwfx1lRXSwyemMISe2EOedJsTGMTsHEUg2XCrdvB4x9njvCVxfw+YcRMf8rhgkMO80NiKS2TmIANBp9UwUrl2FGLu1wYPZOYg5ixdC332ribGooBBsbjOQSeNIRZWMUCfHpUUb8ezIOcqq6OBWoTR67iRX+oX5+mNLu8FMGkdKpVL03bMKuUoWIcZZnoNYuGZldFk/hxgL/OGFHZ3ZHDegGCUj1MlxaOQcfLnzmLIqOpRqWlewYOL3+y9w7zmWyYIJIxMTDD6+RbBgYt+AycwWTFTo2Fy4YOLZG2aNI00szDHk1DbBggn3HmOZNI4EgBr9OqHOiN7E2Jfbj3FkLHmclNgxt7XB0NPbhQsmOg5jtmCi/pj+6gsmZpJvPIkda2dHDDm5lVwwEZ9cMMGicSSHIwRPODOERCJBr53L4Fq+JDF+bs4avDzJ5hzE/FXKo/u2RcRYiPdvbOswjMk5iFKpFP32r0GOogWI8eMTFuH91buUVdGhaN3q6Lh6JjH258sP7OrGpnGkgZERBh3dBPu8uYlxlucglm3VUNCIheU5iMZmphhyciusc5BnX+5heA5i5W6tBY1Yfjx6iYPDZjJ5zk2tLDH09HaY29moxORyOXZ1GwX/z991oEz71BrSAzUHdyPGPl6/j+MTyd/1YsfSwQ5DT28nzr6UJSZiW4dhTBpHAuoLJl6fvsqscaRNTmcMObkVhiZ6WjDRoj4x9njfSWaNIx3z6W/BRMdVM1CkTlVi7PbGPUwXTAiNvowKDk3u5GDQOFJZMFGpLDF+afEmZo0j1RZM/P7DrHEkh0OCJ5wZw9jcDENPbYOVkwMxvrvXePj894myKjpU690B9cb0I8a+3nuKI6PnUlZEBzMbaww9vR1mNlYqMcUcRFaNI+uM6I3q/ToRYywbR1o5OWDo6W16OQex6fQRgqYcLBtH2uXJicEnthLnILJsHAkAbRdPQskmtYmxB7uO4NbGPZQV0cGpoBsGHN5AnIPIsnEkAHReNweF/q1EjN1Ys4tZ48jcpYuhzx7ymByWjSPTKphg2Tgyf+Vy6LFtMTHGsnGkVCpFv32r4VKsIDF+fCLjBRNrZhFjAV9/YmfXkWwXTLjpX8FEmZYN0FKoYOKtHhRMuDgR4ywbR1bu1hqNJgkUTDBsHMnhpIYnnBnEPm9uDDq2iTwHMTIq+e55cCh9YRRov3ya4BzEO1v2MzsH0aVoQfQ7sE7vjCMlEgm6bpovaNDAsnGka7mS6O2+nBhjeQ6iRCJBL/flyF26GDHOsnFkweoV0HUTue2UZeNIqYEB+h1YB6dC+Yjxo2Pm4dNNNucglmhYE+2Xk+cg+n38xuwcRENjYww6tgl2eXIS4/sHT2N2DmL5dk3QfNYoYoxl48i0CybYNY6s2qu9YMEEy8aR6SmYYNU4ss7wXoIFE+8v38FJRo0jLR3tMez0dhibm6nEmC+YmDZcsGCCZeNIu9wuGHxc/4wjAaDNIuGCCZaNIzmclPCEM6MUrlUFndeRN6iB339huz7PQbz7hLIqOpRuJjwH0ffdZ7j3GsfsHMQhJ7bqpXFkxc4t0WTqMGLM89kb7B/MpnGkqaUFhp7eDgt7W2KcZePIfwd00UvjSAs79XMQt3Vk1ziy/tg05iAyahxpncMJQ05tEzaObDeEWePI5rPHoGzrhsTYs0NncWXZFsqK6KC2YIJh40hAfcEEy8aROYoUQP+DvGAiNVeXb2XWODJP2RLovXsFMaYXBRNlBAomGDaOLFi9ArptJu9PWTaOVBRM6KNxJIejgCecGabWkB74d2BXYuzjtXs4OXkJZUV0SHMOYvuh+jkH8dQVbhzJIK3mj0epZnWJMdaNIwce3aR2DmJ0KJtzENMyjry/8zBlRXTIVaIwN44kwI0jGTWO3LsaOUsUJsZPTV3GrnGkuoIJbhxJWRUd0jSO1NOCCW4cyWjBxKnt+mkc2b+z2oIJVo0j0yqYYNk4ksMBeMKZaSQSCbpsmIuCNSoS49dW7cCjPccpq6JD7tLF0NuD7H4bERCUfPdcD+cgcuNIBucgGhig/4G1emkcWaxedXRYNYMY+/PlB3Z21U/jyANDZzA7B5EbR3LjyJT8ePQSBxmdg6g0jrS1VokpjCP9Pn3TgTLtU2tID9QcJFAwcf0+TkwizzwWO9w4UrhgghtHsofeGkfmd8XAI/ppHKmuYEKvjSPbsGkcyeEAPOHMPIo5iLa5XYjxfYOm4seTV3RFUeKf9k3RbCZ5DuKvF/9h74DJTF6kGpubYcjJrbB0tCfGd/ccx7Zx5Oi+xNjXe09xeNQcuoIooZiDaGqtf8aRdUf2QbU+HYgxbhzJ6BzE6SNQvn1TYowbR7I5B7Ht4kko0bgWMfbA/ShubfCgrIgOzoXy6aVxpEQiQef1wgUT11fv5MaRjKHvxpHdtwoXTLBuHClYMDFxEd5fuUNZFR3UFUwEfP2JnV1GsF0woa/GkfPGEWMsF0xwODzhrAfYuDhjqLo5iG0HMzsHscWcMSjTqgEx9vTgGVxdsY2yIjo4uOVJcw4is8aRK6ajaL3qxNjdrQeYnYPoUrQg+h9Yq5dzELttXoD8VcoR43ptHNluCBJi2ZyD2Hv3CkHjyLMzVzJtHNll4zxiLNjTB9s7DWd2DmL/g+uFjSPHzmfXOLJRLbRbNpUY8//0nWnjyMHHN6s3jmS0YIIbR+qfcWS13h3UG0cyXjAhaBzZZSSzxpF1R/ZB9b4dibH3V+4yaxxp5eSQnJfQ04IJfTSO5Og3POGsJ7hVLIMe28kzm8N8/bG1/RC9nIN4cvISvLt0i64oShSpXVVvjSMHHtmon8aRzeuh9aKJxBjTxpGmphh8YitscjoT43prHPn0NfYN0j/jSLlczrRxZM2BXQXnIH6+9YgbRzJIg3EDUKVHW2KMeePIk1v1smAiTePI5VspK6IDN44UMI5kvWBCX40jNy/QS+NI13IluXEkAZaNIzn6C0846xFVerRFg/EDibHvD1/g0PBZTCYmzKyt1M5B3NFlJPw/f9eBMu2TlnGk3s5BZNg4svHkoajYuQUxxvIcRNtcOZLnIAoZR7YdjPA/gTpQpn24cSQ3jkwJN45k1Dhy22L9NI6sWAY9diwlxvTaOHLKUvx3kRtHsgQ3jlRjHNlzLJsFEyYmGHx8i2DBBMvGkRU7tRAumHj2BvsHM1wwkYZxJKsFExz9hCec9Yy2SyajRKOaxNj9nYdxe9Neyoro4FwoH/ofWq9+DmJ4hA6UaZe0jCOvr97JjSMZQyKRoOfOZXAtV4IYPz93LdPGkd22kKs7Q7x89do48sO1e5RV0YEbR3LjyJSwPAdRn40jq3Rvg4YTBhFjPx69ZLZgIi3jyJ1dRzFdMMGNI/9Gr40jT1/V34IJ1o0jm9cjxpgvmNBT40iO/sETznqGgaEh+h/aAKeCbsT4kdFzmb17XrJxbbRdOoUY8/v4De49xzJ5wZIe40hW756nZRy5b9BUJs+5iYU5hpzaptY40vf9F8qq6FC9byfUHdWHGPt69wmOjp1PVxAl0jKO3N6J3XEDaRlHnp5BbtsUO+kxjmR13EBaxpGXl2yirIgOdnlyYtDxLWqNI1n1Z0izYGIzm+MG0mMcGRsZpQNl2iU9xpGP952krIoO6TGOZNWfIS3jyFenr1BWRYf8Vcqj29aFxFiI929s6zCMWX+GfvvXqC2Y+Hj9PmVVdEirYGJXt1FMVvVz9A+ecNZDFHMQTSwtVGKypCTs6DqKWaf7huMHonL3NsTYmzPXcH01m3dS0zKO3N5pOJNO94B648gn+08x23qelnHkjk7DmazwBoAOaowjb2/ay2zreVrGkTu6jGCywjst48jLSzYz23qelnHkru6jmazwTss48vSMlczO6i9Uo6Ja40iPvmxWeEsNDJILJgSMI4+NnY9fL/6jK4oS6owj/T5+w8GhM5g852kZRx4YMh1+H9lsPU/LOPLYeHJyUuykZRy5p88EBP5k8+Z59T4dUW90X2Ls672nzM7qT6tgYlf30QjzY/PmuTrjyHeXbuPKsi2UFXE4mocnnPWUXCWLCM5BDPP1x+7e45m8qyaRSNBj+xLkrVCaGD8xeQmzrufqjCMDv/9itto3rTmIh0fOhs9/nyirokOR2lXRaS15DqLvu884PHouZUV0MDAyUmscuW/gVAR886Ssig7qjCN/PnmNU9PIyUmxk5Zx5O5e4xHi40dZFR3UGUd+uvmQWddztcaRMhl2dh2FyMBg+sIoUHNgV9Qe1pMYe3PmGm6s3UVZER3UFUwkxsdje+cRTI5HA9QbRz7edxIPdx+lrIgO6owj46Kisb3TCCbNxQD1xpG3N+3F82MXKCuigzrjyOjQcOzsMpLJal8AaK+mYOLyks14d/k2ZUV0UGccGe4fCPceY5m9ea7OOPLMjJX4ev8ZZVUcjmbhCWc9plzrRmg5dywx9u7iLVxbuZ2yIjoo5iBaOavOQZQlJmJH5xHMGk2pM458fuQ87m47QFkRHdQZRybExmF7p+FMGk0BQO2hPVBjQBdi7P6OQ3hy4DRlRXRQzEE0NjdTicWGR2B75xFMGk0B6o0jr63cjjfnrlNWRAd1cxAjA4Oxq9soJo2mAPXGkefmrsWnWw8pK6KDOuPIUB8/ePSZwOTNcwDotGYWCteqTIydmLQEP5++pqyIDuqMIwO+/mTWaCot48iDw2cxOypLnXGkz9uPODqWXPEvdtIqmNjbfzICvv+irIoO6owjfzx+hVPT2RyVZWBoqLZgYnfPcQj19aesig6lm9UVLJj4eP0+Li3ZTFkRHYxMTDBEoGBClpSUfPM8KEQHyjgczcATznpO0xkjUaJxLWLs1NRl+P6QTdMhe9dcgq3nQT+9sbf/ZCYvWIDkOYhCM/GOjJ4L79fvKSuig3OhfOgl0Hru9+ErDo2YRVkRHSQSCbqsnyNoIrh/8DRmTYdyly6GbpvJJoK/nr/Fycnkin+xo+jkyFGEPBPPo/d4BHv5UlZFh/xVyqP9yunE2Jc7T3B+3jrKiuggNTBA372riSaCcpkMu7qNRvifQB0o0z7F6lVHy3njiLG352/g2qodlBXRwcDICAMObSDePE9KSGD65nm51o3QaNJgYuzZobO4t+MQZUV0MDYzxcAjG2Fmo9p6nhATy/SorCrd26DWkO7E2N2tB/Ds8FnKiuhgamWJQcc2C94839FlJJOjsoBk48hK3VoTY1eXb8Xb8zcoK6KDpYMdBh7ZSJzVHxEQxOyoLCC5YKJ0i/rE2NlZq5j1mbLJ6YwBh9YTZ/WHePliT9+JzOYlOOzDE856jlQqRZ89qwTvqu3oMopZA5pi9Wug6YyRxNjLE5dwe9NeyoroYGBoiP4H1xHbkJPnOY9g0oAGAMq1aSw4H+3h7mN4tOc4ZUV0MDI1xYDDG4htyHGRUdjReQSTBjQAULVXe0FDuRtr3fHq1GXKiuhgamWJgUc2wNBEtdo3KjgUO7uyW+1bZ3gvlG/XhBi7uGA9swY0Fva2GHBoHbHaN+z3H+zuNY7Zat/GU4aieEOyodypqcvw/dELyoroYJPTGX33rSbePA/84YV9A9kclQUArRdMQIFq/xBjR0bNgc/bj5QV0cExvyt67SLfPPd99xmHR82hK4giHVfPRO4y5Lnt+wZOxZ+vP+kKokTO4oXQdRPZ8Njz6WucnEKu/hY7EokE3bcshHPh/MT47t7jEeL9m7IqOrhVLIP2K6YRY59vPcL5+WzePFf4M5DmtstlMqZ9pgrXqiLYef7m7DVcX8OmzxSHfXjCmQNrZ0f0O7CWeFct+JcP9vRj965a81mjBFtSj41bgF8v2TSgsXfNhd4eK4kx/8/fmTWgAYC2S6cIzvA+OGwmswY0OYoUQPeti4gxr1fvcWwCOcYCXTbMg0vxQsTYnr4TEeTpTVkRHfKULYFOa8iV+9/uP8PZ2eS2dLEjkUjQc+dSOOTLoxKTy+XY1X00wv0DdKBM+xSoVkGwJfX95Tu4unwrZUV0SG49XwVrFyeVmCwxETu6jERUCJvVviUa1kRjgRneL45dwJ0t+ygrokNyhfd6mNvZqMQUo7JYvXlevl0T1BnRmxi7v/MwHu8/RVcQJYxMkyu8TSzMVWKxEZHJN88ZHZVVrXcHVO3Vjhi7vnonXp+5SlkRHdTePA8Kwc5uo5m9eV53ZB+UbdOIGLswbx0+3nhAWREdLB3s0P/QevLNc4Z9pgCgydRhKFa/BjF2cvJSZn2mOGzDE84cAEDROtXQYvZoYuz16au4uX43XUGUMDA0RL8D62DpaK8SS4z//2rfiEgdKNM+ZVrUF5zn/HjfSTz0OEZZER2MTEww8PAGohtyXFQ0tndm14CmcrfWgvOcb2/cgxfHL1JWRAcTC3MMPLKRaDoUHRqOHQwb0NQc3B0VOjUnxi4v3oT3V+5QVkQHc1sbDDi8gWg6FO4fiF09xjJ7wdJwwiCUbFqHGDs9fQW+PWBzVJZ1DifBUVnBnj7Y238SszdSW84di0L/ViLGjo6dD69X7ygrooN93tzovZs8y9Xv4zdmR2UBQPsV05D3n1LE2IEh05kdleVStCC6Cdw8//XiP5yYtJiyInp02TgfLsUKEmMefSYg+JcPZUV0cC1XEh1XzyTGvt59gvNz11JWRAeJRIJeu5bD3o0wKktx85zRUVmFalREqwXjiTGWfaakBgbou281rHOQR2Xt7DKS2VFZHHbhCWeOkqbTR6Bo3WrE2PEJi+D57A1lRXSwy+2CPnvI1b4sG9AAQJtFE5Gvclli7BDDBjROBd3QYzv5osTnDbsGNADQee1s5CpZhBjb238SswY0uUsVRef1c4mxH49e4vQMNg1oJBIJemxbDMcCeVVicrkc7j3GIuz3Hx0o0z75K5dDu6VTiLGP1+7h0uJNlBXRQSqVoo/HStjkyqESSx6VNZJZA5qidauj2axRxNirk5dxa4MHZUV0UI7KcrBTiSlHZTF687xsq4aoN6YfMfbI4zjTN88HHN4AUytLlVhcZBS2dxrO7KisKt3boHq/TsTYzXW78fLkJcqK6GBqaYEBhzeQb56HhGFH11HM3jyvNaQH/unQjBi7uHADPly7R1kRHSzsbDDg0HryzXO/AOzuye7N80aThqBEI4FRWdOWM+szZePijL771giOyto7YAqzeQkOm/CEM0eJ1MAA/favFTSg2d55BGLCwnWgTPuUalpX0IDm6cEzuL/zMGVFdDA0NsaAQxuIBjTx0TFMG9BU7NRCLw1ojM3NMODIRqIBTUwY2wY0Nfp3RqWurYixK8u24u2Fm5QV0cHMxhoDD2/QSwOa+mP7qzegufuEsiI6WDk5YMDBdXppQNN85igUqVOVGDs+YRE8n7+lrIgOdnlyoo/AqKw/X35g/5DpzJ7zdkunwK1iGWLs4LCZ+P2BzVFZzoXyofs2crWv9+sPODZ+IWVF9Oi8bg5ylihMjO3tNwmBP73oCqJEnjLF0WntbGLs+4PnODNrFWVFdJBIJOi5Ywkc87uqxJKrfccgzI/Nm+cFqv6DNkKjsq7cxZWlmykrooNUKkWfvavJPlOJiUz7TBVv8C+aTh9BjL08fhG3N7M5KovDJjzhzPkLtQY0339h3yD9NKA5PHI2fP77RFkRHdI0oBlNrgplgbQMaAK+eVJWRIdcJQqjy0ZyFbfn09c4NXUZZUV0kEgk6L51EZwK5SPGd/cap5cGNJ9uPsTFhRsoK6JDWgY0O7uOQmRgsA6UaZ+0DGhurN1FWREdlDfPnRxUYonx8djReQRiwiN0oEz7lG5eDw0nDCLGnh44jQfuRykrooOhsXFytS9hVFZ8dAy2dxrO7KisSl1aoeagrsTY7U178fzYBcqK6KAclWVmqhKLDg3HToZHZf07sCsqdmlJjF1eshnvLt+mrIgOZjbWGCB08/xPIHZ1H8PszfMG4weiVLO6xNiZmavw9d5TyorooNc+U7NHC/tMMTwqi8MePOHMUUGdAc3zI+dxd+t+yoroYGBkhP4H16k1oImLitaBMu2j1oBmxyE8OXCasiI6pGVAs73TcKYNaKr0JBvQXFu1A2/OXqOsiA5KAxpjPTWgad2QGDs3dy0+3XpIWREdLB3s0P/gOqIBTaiPn94a0JyYtAQ/n76mrIgOtrlyoM9ecqVfwDdP7Gf55vnCCchfpRwxdmjELPi++0xXECWcCuRFzx1LiDHf/z7h6BiGb56vmY1cpYoSY3v7T2Z2VFaukkXQZQP55vmPx69wahq5mELsKG+eF3Qjxnf3HIdQX3/KquiQr1JZtFtGHpX16cYDXFy0kbIiOqQ1Kmtn11HsjsqqUw3NBUZl6YPPFHFUFuM+Uxy24AlnDhF1BjRHxsyD9+v3lBXRwcEtD3q5kzeofh++sm1As3wqXMuXJMb2D57GtgHNFnLbKcsGNBKJBF03zUeOogWI8d29xzNrQJO3fCl0WDWDGNMLA5q8BAMamQy7ujFsQPNvJbSaP44Y++/CTVxbtYOyIjqkZUCzo/MIZg1oSjaujcZThhJjzw6fw73tBykrooOhsTH6H1oPc1trlVhCTCzTN88rdGyOWkN7EGN3tx3E00NnKCuig7FZ8s1z0qis2PAI7Og8gtlRWdX7dkTl7m2IsasrtuHt+Rt0BVHCzNoKA49sJN48jwgIws5uo5it9q03uh/KtGpAjJ2bswafbz+irIgOlo72wqOyvH/Do/d4Zm+kNpsxUm99pvoK3Dz/8+UH0z5THHbgCWcOkXQZ0ERG6UCZ9inXupGgAc3D3cfwaM9xyorooKj2FTKg2dF5BLsGND3aqjWgeXXqMmVFdDC1tEi+YDFRvWBh3YCm9rCeKN++KTHGtAGNvS0GHCYb0IT9/oPdvcYxW+3baPJQYQOaqcvw/dELyorokJYBzb6B7Fb7tpo/HgVrVCTGjoyeC+83HygrooNjPlf03EUejfT7/RccHjWHriCKdFw1A3nKFifG9g2cCv8vPygrokPO4oXQbfMCYszz2RucnLKUsiI6SCQSdNu8ADmKCN88Z3VUVt5/SqH9yunE2Jfbj3F+/jrKiuggkUjQ230F7FxzqcTkMhl2dhuNiIAgHSjTPoVrVUHLeeSb52/P38D11TspK6KDulFZ+u4z9WDXEcqKOJyMwRPOHEHUGdD4f/6Og0NnMHuRmpYBjd9H/TOg8Xr1Xm8NaPb0ncgNaBhDYUDjkC+PSkwul8O9h54a0Fy+gyvLtlBWRAeFAY21i5NKLNmAZiSiQtis9lVnQPPi2AVmDWiUN8/tbVViilFZrN48L9+2CeqO7EOMPdh1BI/3naQriBLqRmUpb54zOiqraq/2qNq7PTF2ffVOvD5zlbIiOphaWWLA4fXEm+dRQSHY2XUUs6Oy6gzvhXJtGxNjF+atw8cbDygrooOFvS0GHFpPHJUV5uvP9M3zJlOGoliDf4mxE5OX4Mfjl5QV0UHhM0VCH3ym8lctT4wdYthnisMGPOHMUUvp5vXQYPxAYuzxvpN4uFv/DGjioqKxvdMIpg1o/h3IDWhSwroBTc1B3VChU3NijGUDGnNbG0EDmnD/QLj3GMtsS2qD8QNRsmkdYuzMjJX4ev8ZXUGUsHZ2RH8hAxpP9g1oCtXUPwMae9dc6L17BTHm/+k7Dg2fSVkRPdotn4q8/5Qixg4MmQ6/T98oK6JDjiIF0G2rwM3zl+9wfAI5xgJdNsyDS7GCxJhHnwnMjspyLVcSHVeT38tf7z3FuTlr6AqihEQiQc+dywRvnu/qPhrh/gE6UKZ9ClavgNYLJxBj7y7dxtUV2ygrooPUwAD9BEZlyRITsb3zCGZvnpdoVAtN9NRnasCh9WSfKcZHZXHED084c9KkzaKJggY0B4fPgu/7L3QFUUKdAY3P2484OpZsVMICndZyA5rU/Hj8Cqemk5MWYkcikaDH9iV6aUCTv3I5tF06mRj7eP0+Li3eRFkRHaRSKfruWaWfBjR1qwsb0Jy6glsbPCgrooPaUVmMG9CUadkADcYNIMYe7TmBhx7HKCuig5GJSfLNc9KorKhobO80nNmb51W6t0GN/p2JsVsbPPDyxCXKiuigGJVlZGqiEmN9VFatIT3wT0fyzfNLizbi/dW7lBXRwcLOJrnalzAqK9wvAO492a32bThxMEo2qU2MnZ62HN8ePKesiA7WOZzQb/9a4qisYE8f7Bswmdmb5y3njRMelaXHPlOHR5K7VTkcXcMTzpw0URjQmNmoVvsmxMRie8dhiI+O0YEy7aPWgGbrATw7fJayIjqkaUDTZaR+GtAs34q3F27SFUQJM2srwWrfiIAg7Oo+mtlq3/pj+qN0i/rE2NnZq/HlzmPKiuig1oDGyxd7+rJb7dtsxkgUqVOVGDs+YRE8n7+lrIgOdrld0GePsAHNgaFkM00WaLN4EtwqlSXGDg6bid8f9G9Uls+bjzg2njz3lwXUjsrqx+6orNyli6HTujnEGPOjsrYvhmN+V5VY8qisscyOyspfpTzaLiHfPP9w9S6uLN1MWREdpFIp+qi5eb6jy0hEBYfSF0aBYvVroOmMkcTYyxOXcHvTXsqK6KBuVJZe+EyN7kuMPXA/yuyoLI644QlnTrpwzOcqeFft9/svODWdHGMBdQY0B4ZMZ7byM2fxQui6aT4x5vn0NS4u3EBZER3SMqDZ228is5WfbhVKo/2KacTY51uPcH3NLsqK6CCRSNB7t7ABjXuvccxWfhauVQUt544lxt6cvYb7Ow9TVkQHdQY0ifHxcO85llmT1NLN6qLhRLIBzZP9p5i9kWpobIyBhzcQb57HR8dgd69xzFZ+VurSCjUHkUdl3dm8D/9dZPNGqrG5meCorJiwCHj0mcBs5ee/A7qgYpeWxNiVpVvw9d5TyoroYGZjjYFHNpJvnv8JZNoktf7Y/ijdvB4xdmbWavx6+R9lRXSwcnIQHJUV4uXLtElq81mjULgWeVTW8QkLmR2bZO+aC73V+EydmLSYsiJ6tF06BXkrlCbGDg6fxezYJI544QlnTrpRZ0BzY80ufLr1kK4gSqgzoIkODcdehtuWqvXuIGhAc3HhRng+e0NZER3UGdCE+wcyPfOz7sg+KNumETF2evpyZkfoWDrYof/BdUQDmmBPH6YNM5tMHSZoQHN07HxmqwBtc+UQNKDx+/AVZ2ayWQUIAG0WChvQHBw2k9kqQMf8rui5cxkx5vnsDS4tYbMKEAA6rpmN3KWLEWN7B0xhduZnrpJF0HUjeVTWl9uPcXP9brqCKCGRSNB96yI4FcqnEpPL5djdezyzVYBuFcug3fKpxNjbc9eZHaEjlUrR22Ml7PLkVInJEhOxu9d4Zg0zi9SuihZzxhBjT/afYnaEjoGhIfodWAdLR3uVWEJsHDx6j2fWMLNMi/qCPlN3Nu9jdoSOkYkJBgr4TMWGR2BP/8nM3kjliBOecOZkCHUGNHv6TmS2ClCdAc27i7eYrQIEhA1oZElJ2N17PLNVgOoMaJ4dPodnR85RVkQHiUSCXruWw94tt0osMS6e6c1roRoV0WrBeGLs3vaDeHfpFl1BlJAaGKDv3lVEA5q4yCjs6TuR2c2rOgOaayu3M1sFqM6AJio4FPsHT2P2Ruo/7Zui9vBexNj5eeuYNU9MHpW1gXjzPMzXH0cYrgKs1qcjqvRoS4ydmrKU2SpAM2srDDyyAYbGqjfPA7//wsnJZJ8SFqg3qi/Ktm5IjB0ZPQ/BXr6UFdFB3c1z3/8+4fzctTpQRYem04ajaL3qxNiBIdMR/ieQsiI62OV2Qd+95BvkPx6/YtY8EUj2mcpXmTwqa2+/SYgJC6esiA5OBd0EfaY+XruHO1vYNE/kiBOecOZkCCMTE/Tbv4ZoRhL00xvHJ7Lr/F2lextU6tqKGGO5CtDU0gJ9960hmpH8fv8FZ2aRKwRZoNaQHoLtiSxXAVrY2aCPx0qiGYnnsze4zHAVYKNJQwTbE/f0n8xsFaCNi7Ng5efnW49we+Meyoro0XLuWOKNVLlcDo8+E5h1/nZwyyM4NunNmWt4tOc4ZUX0aL98GvlGKuNVgC7FCqH9yunE2ON9J5mtApRIJOiycR7s86reSE2IjYNHnwnM3kjNW76U4I3U25v24sO1e5QV0UEikaDnjqWwcla9kRobHoE9/SYxe1Ot0L+VBG+kXl66Bd8fvaCsiA5SAwP02bMK5rbWKrGIgCAcHDqD2XNeskkdwS7ks7NWw+ftR7qCKGFobIx++9cSPYdCvH/jyBhydwsLVOjYXLAL+cTERQj45klZEYdDhiecORnGpVghtF44kRi7u/UA3l2+TVkRPbpsmAdrFyeV43GRUdjbbxKzVYBuFUqj6fThxNi1Fdvw9f4zyoroIJFI0GP7EnIVYFAI01WARWpXRV0BY4pzc9cyWwUolUrRy32FXlYBlm5eD9X7dSLGTkxeAv/P3ykrooOBkRH67FlFrAIM+OaJEwxXAVbs3BL/dGhGjB0eNZfZKkBjM1P09lhJnPnp8/Yj01WANQd1Q4lGNYmxA0OmIyIgiLIiOphZWwl6kfx49JLpKsAG4wagQPUKxNgehqsALR3tBQ0zk6sA91FWRI9mM0cS/WfkMhk8ek9g1uzdLreLoGHmyxOX8OTAaap6aNJm8STiCJ2khATs7jWOWbN350L50HbpFGLs4e5jeH3mKmVF9Oi0ZhZsc7uoHI+Pjkn2KGDU7J0jLnjCmZMp6o3ui0I1yVWAexmuArSwt0WP7eTkw6ebD5muAmw2fQRcy5dUOc56FaBNTmfB+Y9vzlzD470nKCuiR5tFk5CjqKp5oiwxMXmcCqNVgE4F8gqaJz7edxIvT7JZBQgAHVfPJFcBxsRid+/xzG5ec5UsgpbzxxFjtzfuYboKsOum+YJVgHv7s+tRkL9yObVVgD8ev6SsiA4SiQQ9diwlmidGBAThwJDpzJ7zYvWqo86I3sTYudlrmK0ClBoYoPfuFUTzxBAvXxwdS+50YIFyrRuhaq92xNjxCexWARoaG6OPx0qieaL/5+9Mm71X6dFW0Ivk8IhZzJq9m1iYJ3cnEm6ker16z6zZOwDUHtZTcJzK/kFTmTV7N7e1Qa9d5O7Er/eeMmv2zhEXPOHMyRRSAwP0dl9OrAIM9fHDkdFzdaCKDmVa1OdVgKkI+PoTJ6cs1YEqOlTs0kpNFeAcpqsAhTavPm8+4vy8dTpQRYeag7ujeEOBKsDBjFcBCmxeWa8CbDh+IApU+4cYY7kK0MrJAd23kk0xP1y9i7tb2Z0F2HzWKOQuo2qkJ5fJsLvXeGarAO1dc6HzujnE2MsTl/D04BmqemjSdslkYhVgYnw8dvcez2wVYI7C+dFuGdlI74H7Ubw5d52yInp0WjtbL6sA85QtIWikx7LZu0QiQfctC4lGeqybvResXgENJ5CN9Fg2e5dKpei1axlMrSxVYqybvZdoVAu1hnQnxlg2e+eIB55w5mQap4Jugi7Qj/eewKtTlykrokfHVTNg55pL5XhCTCzTm9fcpYqi5byxxNitDR74eP0+ZUV0UFYBOjmoxGLCGK8CrFIejScPIcYuL9nMdBVgz51LiS7QzFcB1q8haKp2dtZq+Pz3ibIiOkgNDNDbY6VwFeC4BTpQRYdybRqjSk/9rALsu2eVflYB9myHMq0aEGOHhs9kugqw9+4VRI8Cr5fv2K8CrFuNGNs3cArTVYA9d5KLIr7ee4oba90pK6JHo0mDBU3VWDZ7t87hhK6byd/ZrJu9t5w7FjlLFFY5LktKgnuvccyavTu45VFv9n74LGVF9Gi3fBoc87uqHGfd7J0jDnjCmZMlag3pIVgFuJ/lKkAba8EqwO8PX+Dqyu2UFdGj4YRByF+1PDG2p98kxIRHUFZEBysnB8FZgMxXAc4ejdylBaoAe49HfAybm9fkKsDZxBjrVYDtlk6BU0E3leOJ8fHY3WsckhISdKBK++QonB/tBGYBPth1RC+rAOOiouHRdyKzHgV5ypZA89mjibEba3bh8+1HlBXRQSKRoPvWRbBwsFOJsV4FWKhGRTSYMIgYY70KsKdQFaBfAA6NmKUDVXQo2bg2ag7uRoydmrYMvz98payIDgaGhujjsVLY7H0CubuFBSp0aKaXZu9Gpqbos2cVpAYGKjG/D19xZuYqHaiiQ/V+nVCqWV1ijGWzd1NLC/RyX66XZu+c7A9POHOyhNoqwD+BOMCwI3DxBv8KVwHOXMV0FWAfgSrA4F8+OKbPVYDff1FWRAcjExP02bMSUkNDlZj/p+84zXAVYNVe7YWrABmfBdjbY6VgFeAFlqsAh/fSyypACzs1VYB3n+DGWnZnATaePARulfSvCtDGxRnd1FQBPth1hLIierSaJ1wFuLv3eGarAB3zuQpXAR46i2dHzlFWRI/2aqoAd/cax2wVoEuxQmi9SMDsfdtBbvbOIG4VSqPpjBHE2LWV2/XT7D04lHmz93pj+hFjLJu9c7I/POHMyTJqqwCPX8SzQ7wKkDVyFCkgWAV4f+dhvD1/g7IieqitAuwzgdnNq2u5kmjBqwD/IjokDPsGTmF286q2CnDBBng+f0tZER14FaBAFeBUtqsA++4hVwEG/vDC8Ynk7hYWqNCxOSp2aUmMHRkzTy+rAH+//4Izs1brQBUd0qoCDPcPoKyIDqZWlnpbBVhvdD8UrqWfZu89d5BvpOq12Xvv8cyavdvmyqHW7P3RnuOUFdGj9cKJwmbvvdg1e+dkb3jCmaMRqvZqjzItyVWAB4fPQthvNltY0qoCvLhoow5U0UFdFeDeAZMRFRxKVxAlLOxs0HPHEmKM+SrAKUPhVrGMynG5XJ5cBRgZpQNV2sfGxRldN80nxv67cFNvqwA9GK8C7LBqBjH27NBZPD96nrIierRfPg0O+fKoHE+MSzZVY7oKcKFAFeDWA7wKkEHcKpRG0+nDibFrK7bpZxVgUAj2DZrK7I3UIrWrou7ovsTY+XnrmK0ClEql6OW+Qi/N3ks3r8fN3lMR8M0TJyaTr2VYoGKXVijfvikxdnjUXP00e3/Lttk7J/vCE84cjSCRSNB92yJY2NuqxPSiCnA82RH4gh5UAZpYWqjEwv0CcGgkueqdBUo2qYOag7oSY6enLYffR3arAHt7rIShiermNfCHF04wXAVYsVMLVOzcghg7OnY+gjy9KSuig5Fp8uaVVAXo++4zzs5mtwqwRv/OKNm0DjF2YOgMpqsAe+9eQYx5Pn2NK8u2UlZEj3qj+6JQTeEqwOhQNqsALR3s0GPbYmLs082HuL1pL2VF9GiqrgqwzwSmqwC7bBCuAny89wRlRfRos2gSsQowKSEheZwKo1WATgXyov2KacQY82bvq2fCPm9uleP6bPZ+e+Meps3eu21eQDR7jw3XA7P3KUOJMZbN3jnZF55w5mgMGxdnQUfgt+dv4IH7UcqK6NFq/ji4FC+kclyWmMh8FaDQLMCnB07j+bELlBXRo/2K6cQqwITYOKarAHOVKCxYBXhny362qwA3zod1DkeV47ERkdjDchVgxTKCVYBXl2/DtwfPKSuig0QiQc8dS/W2ClBwFuCcNfB+/Z6yIjpIDQzQ2325XlYBlmnZANX7diTGTkxaDP8vPygrooOhsTH6eKwkVwF+/YmTU8jt+CxQqau6KsA5+lkF+IbtKsCag7vrp9m7tRU3eyewp98kxISFU1ZEB702e581CrnLCJi99xqP+OgYHaji6Cs84czRKBU7tUCFTs2JsaNj5jFdBdhXYBagPlcBHhw6A+F/AukKooRiFiCJn0/YrgKsP6YfCtaoSIwxXwW4ndyC+OnGA/arAMuVUDkul8uxm/FZgJ3Xk5OMelEFWIRcBejeaxwS4+N1oEr7OBV0Q7vlU4mxR3tO4NXpK5QV0aPj6pmwc82lcjwhJhYevcezWwVYuhhazB1DjN3a4KGXVYAxYRHYN4DxKsDJQ4gxlqsA0zJ7PzhsJrPnvFj9GtzsPRXBv3xwlHWz9x5tiTHmzd49BMzeP3/HKYbN3jnZD55w5micrnpcBdhkmkAV4IrtTFcB9ti+BOa21iqxyMBgph2Bi9aphnoCswDPzVkD7zcfKCuig9TAAL13r4CxuZlKLNTHD0fGkNt0WaBMywao1qcDMXZy8hK2qwD3rIKBkZFKLODrT5yaSq4cYoHK3VqjfLsmxNjhUXMQ4v2bsiI6GJuZorfHCsEqwAvz1+tAFR1qDekhXAU4aBoiA4MpK6KDmY212irAa6t2UFZEjzSrAMMjKCuig5WTA7ptWUiMvb9yF3e3HaCsiB7NZ49G7tICVYC9xyM+hs3uRHVm7y+OXcCzw2cpK6KHOrN3j97jmTZ7b7tkMjH2YNcRts3e182BTa4cKsf12ez95lp3Zs3eOdkPnnDmaBxLR3t0F5oFeOMB7mzeR1kRPZrNEKgC/P/NK6tVgHa5XdBZYBbg61NX8GT/KbqCKKKuCnA3w1WAzoXyod1y8izARx7Hma4C7LRmFrEKMD46hu1ZgKWLCc4CvLl+Nz7eeEBZER0kEgm6qqkC3Nt/ErM31QpU/UewCvDS4k348eQVXUGUSKsK8MDQGcye8+IN/kXtYT2JsTMzVsL33WfKiuhgYGiotgrwGMNVgOXbNRGuAhy/kO0qwD0CVYCfvuM0w1WAVXu1R5lWAmbvw2bqpdn7rxf/MW32XmdEbxSpU5UY2ztgMiKDQigrooOFnQ167SSPRtILs/dKZVWOK83eIyJ1oIqjb/CEM0crlG3VULAK8PjERQj84UVZER3SqgI8PYNsxMQCaqsAR85GmB+bm1djczPBKkDv1x+Y3rzWGtIdxRr8S4wdGDwNUSFsjtZQWwX44DlurHWnrIge6qsAJzJ7U83a2VFtFeD9nYcpK6KHUBWgLCkJHn0mMHtTLa0qwBcMexS0VVcFyPBNNXVVgPd3Hmbao0BdFSDLN9XUVQHeWLMLX+8/o6yIDhKJBN23LoKFg51KLDokDPuHkAsKWKBQjYpoMGEQMXZhwQZ2PQqkUvRyXy5o9n6U4e5EdWbvp6YuY7Y7UXEjVcjsnWWPAk72gSecOVqj05pZsMuTU+V4QkwsDo+czezmNXfpYmgpMAvw5rrd+PXyP7qCKKGoArR0tFeJRYeG49h4crKGBQpU/QeNJg0mxi4v3gz/z98pK6KDVCpFL4EqwHD/QJyexu6YheIN/kWtoT2IsbOzVjFrtmRgaIjeu1fAyNREJRbs6YPz89bqQBUdyrdrgsrd2xBjJyYtZtZsSV0VoN+Hr7i6gl2zpaq92qNMS3IV4JHRc5kds2BqaYHeu1cQqwA9n73BbYY71dRVAR4cNpPZMQvqqgA/33rE9Lz6xlOGwq1iGZXjcrkcB4ZMZ3bMgo2LM7pumk+MvTlzjelOtVbzxiJnicIqx2WJiTgwdAazYxYc87miw6oZxNjjfSeZ7VQDhM3eE+PicWj4LGbzEjmLFxI2e9+8j9lONU72gSecOVrDzMYaPQU2r2/P38CrU5cpK6JHw4mDkb9KOZXjcpkMB4ZMZ7Y6yNrZEd23kh2Bnx44zazxDgC0mDMGuUoVVTmeGB+PgwxvZOzz5kanNTOJsbtbDzBrvAMA7ZZNhWOBvCrH46Kima4UcSlaEG0EqgCvrdrJrPEOAHReP5dYBRgdEoYTk8ijpFjAtVxJNJ81ihi7MH8dsy33EokE3bctgoW9rUos7PcfnJ21ir4oShT6txLqjxtAjJ2evoLZlnupVIpeu8hVgIHff+HS4k06UEWHkk3q4N+B5CrA4xMWISo4lK4gShgYGqK3QBWg73+fcJ3hrqWKnVqgYucWxNjhkXMQGxlFWREdjExNk03VCGbv3x++YLpr6d8BXVCySW1i7OCwGUiIi6OsiA7qzN4/XL2L50fOUVZEj/pj+qHQv5VUjitvqiUm6kAVR1/gCWeOVinRqBZqDOhCjB0ZNZfZ2UGKKkDSaI2fT17j3vaDOlBFh/LtmqBCp+bE2IGhM5AQy2Z1kJGJSXJFGGG0xsdr9/Ds0BkdqKJDtT4diZtX1jcyppYWgqM1Xp64hDfnrlNWRI+6I/ugYI2KKsdliYk4yHB1kIWdDboLjNZ4uPsY0yYsTaYMJXoUJMTG4dAIdm+q2bg4o9O6OcTYzfUe+PWCza4lAGg1fzycC+dXOR4bHoGj48iVkSzgmN8VbZdOIcYuL9kMv49fKSuiR4eV02Gb20XleERAEE5NZbf9OleJwmgxZwwxdm72agT/8qEriCJdNs4ndieGePni/Lx1OlBEB7eKZQS7E09OXoLwP4GUFdFBIpGgx46lxJtq/p++4+rybTpQRYeidaoJehQcGTMPMWHhlBXRQWpggF7uy4k31bxevsPtTXt1oIqjL/CEM0frtFs6hbyR8f6Nc3PW0BdECZdihQTNlk5OWYpw/wDKiujRcfUs4piFP19+4MqyrTpQRAe3CqVRZ0QvYuzo2PmIDmVzprFEIkGXDfOIYxa8Xr3HrQ0eOlBFhyK1q6Jq7/bE2KERsxAfHUNZER2kUim6bV5AHLPw9d5TPNx9TAeq6FCmZQOUa9uYGDswdAazM40NjIzQbctC4piFdxdv4eWJSzpQRYfK3VqjWP0aKsflMhn2M9y1ZGxmii4byd0azw6dxfsrdygroketwd2Qr7Kq2VJSQgIODpvJ7A0WUytLdF43hxi7u+0gvj98TlUPTRqOH4hcJYuoHI+PjsHhUXPoC6KEpYMd2i2fSoxdX7UDPm8/UlZEj2YzRsIxv6vK8eiQMJyYSO7YZAG73C5otWA8MXZhwXr8+fqTriCKtFk0EdYuTirHw/0CcHrGSh0oooNzoXxoOn0EMXZmxkqE+vpTVsTRF3jCmaN1LOxt0WHldGLsxlp3Zs0ZAKDJtOHElvuYsAgcn8DuRsY2Vw60XjiBGLu4aCPTG5lW88fDJqezyvFw/0Ccns6uaaRTQTc0nTGSGDszcxVCvH9TVkSP9sunwdzORuV4sKcPzs9ntzood+liaDCuPzF2YtJiRAYGU1ZEj05rZ8PEwlzluN+Hr7i2aocOFNEhf5XyqDm4GzF2ZDS7XUsSiQRdN82HobFqdZDn09e4s/WADlTRoUTDmqjUtRUxdnD4LGa7lqQGBsk3WAhdS59uPsST/afoi6JEubaNUbp5PWJsP8NdSwZGRui6eQEx9vr0Vbw+c5WyInpU690BhWtVVjkuS0pKvqnGaNeSsbkZOm8g31R7tOcEPt16SFkRPeoM7wXX8iVVjifGxTPdtWRmY42Oq8mjAG9v3APPZ28oK6JHo0mDkaNIAZXjsRGRODqW3VGAHN3CE84cKlTp2Q6Fa1dROc78RsbMFF0FqoNYN2eoPbQH8lYorXI82ZyB3eogM2srdFwzixi7s3kffj59TVkRPRpOGAiXYgVVjsdFRuHoWHbbr62cHNBuGbk66OqK7fB995myIno0nzUa9nlzqxyPCgrBiclLdKCIDvauudBy3jhi7Py8dQj84UVZET1aL5oEK2dHleOhPn44O3u1DhTRIUeRAmg8hdy1dHraMoT5sTnTGAA6rJoBMxvVrqWArz9xaclmHSiiQ97ypVB3VB9i7Nj4hYgKYbdrqfP6uTAyM1WJ+bz5iJvrdtMXRYnCNSujer9OxNjhkXMQFxVNWREdko2/FxK7lr4/eI6H7kd1oIoOpZvVRfn2TYmxgyx3LRkaCnYtvb98By+OXdCBKjpU7NwSxRvWVDkul8uZ7loyMjERvKn2/Mh5vLt0i64gjl7AE84cKkgkEnTbvJA40/jHo5e4v+OQDlTRoWSTOvinI3mm8cGh7JozSA0M0F1oI3OFbXOGCh2bo0TjWirH5XI59g+exmx1kJGJiaDj+YtjF/D2wk3KiuhRvV8nFKj2j8pxheM5qzdYTCzM0Xn9HGLswa4j+HrvKV1BFKk7qg9ylymmcjwhJhaHR85m9pxb2Nmo7Vr69ZLdmcZNpg6DU0E3leMxYRE4Np4825sFbFycBV3uLy/eDP/P3ykrokereeOIRqERfwJxehp5hj8LOOZ3RfOZ5K6ls7NWIdjLl7IierRbOoVoFBr8ywfn562lL4gSuUoURsMJA4mxE5MWIyIgiLIienRaM4s409jv4zdcXbFdB4rokL9yOdQc0p0YOzJ6LmLCIygrooNEIkGXjfOIM41/PX+L25v36UAVHYrVq47K3dsQYweHz0J8DJtdSxzdwRPOHGrkLF4IDScOIsZOTlnKrDkDAHRcPROmVpYqx/0/s23O4FaxDGoPJ880ZtmcQSKRoOvG+XppzlC0bnVU6dmOGDvM+kzjLQuJjudf7z7BQw92ZxqXbdUQZVs3JMYODJmOpIQEyoroYGBoKGgg+Pb8Dbw6dZmyInpU7t4GRetWUzkul8lwgOXqIFNTwZtqTw+cxodr9ygroketId3hVrGMyvHE+HjmZxp3WjubGLu79QC+P3pBWRE9GowfCJfihVSOx0VF4+gYdtuvLR3t0W75NGLs2qqd8PnvE2VF9Gg+cxQc8uVROR4VHIoTkxbrQBEd7PLkRKv55K6lC/PXIeD7L8qK6NFm0URi11LY7z84M5PdmcY5CudHk6nDiLHT05YzPdO4w8rpxK6lwO+/cGnxJh0o4rAMTzhzqNJs+ghuzpAK1s0ZWi8Yr5fmDE4F3fTWnKH9imkwt7VWOR74wwsXFm7QgSI65ClTHPXHkmcaH5+wCJFBIZQV0aPzujkwNjdTOe777jOurd5JXxAlClSrgJqDuhJjR0YxPtN48wLiTOOfT17j3vaDOlBFhxKNaqFi5xbE2MFhM/VypvHH6/fx9OAZHaiiwz/tm6Jk0zoqx+VyefJNNUa7lgyNjQVvqr08cQlvzl2nrIge1fp0QKF/K6kclyUm4uDQGeyOAjQ3QxeBmcYPdx/DlzuPKSuiR50RveFaroTK8YTYOKZnGpvb2gjONL61YQ9+vWC3a6nx5CFwLpxf5XhsRCSOjWN3FKB1Die0XTKZGLu8ZDP8Pn6lrIjDMjzhzKGKPpsz1B7WE3n/KaVyXB/MGToJzDS+vWkvN2dgEGtnR7RdOoUYu7p8G35/YHcj03z2aNi55lI5HhUUgpNTlupAER3s8+ZGi7ljibHzc9ciyNObsiJ6tFk8GVZODirHQ7x/49ycNfQFUcKlaEE0mkyeaXxq6jKE+wdQVkSPDqtmwtRatTroz5cfuLJsqw4U0cGtQmnUGUHuWjo2bj6iQ9mdadxlwzwYmZqoxLxff8CtDR46UEWHwrWqoFqfDsTY4ZGzme5a6rp5AXGm8dd7T/FwN7tdS6Wb10P5dk2IsQN6OtP43cVbeHnikg5U0aFS11YoVr+GynG5TMb2TGM1XUvPDp/D+yt3KCuix7+DuiF/lXIqx5MSEpjuWuLQhyecOdTh5gz6Z85QoVMLsjkD6xsZPTZnqDGgC/JXLa9yPCkhAQeGTmd2I2NqaYHO68jt1/d3HMLX+88oK6JH/dF9katUUZXj8dExODxqDn1BlLCwt0X7FeT26xtr3eH9+j1lRfRoMnUYHAvkVTkeHRqO4xPY7VqyzZUDrRdOIMYuLtoI/y8/KCuiR6v542GT01nleLh/IE5PX6EDRXRwKpAXTWeQZxqfmbkKId6/KSuiR7tlU2FuZ6NyPOinNy4sWK8DRXTIXaooGowjdy2dmLQYkYHBlBXRo+OaWTCxMFc5/vv9F1xbtUMHiuiQv0p51BzcjRg7PGoO211Lm+YTu5Y8n77Gna0HdKCKDsUb/ItKXVsRYweHzWR2prHiphqpa+nTzYd4cuC0DlRxWIQnnDk6QV/NGfJVKotaQ3sQY9ycgU2K1auOKj3aEmMsmzNIpVJ0F5hp/OX2Yzzee0IHquhQtnUjlGnZgBhjeqaxkRG6CbRfvzlzDa9OX6GsiB5VerZD4dpVVI7LkpKSb6qx2n5tZoquG8ndGo/3ncTHGw8oK6JH7aE9kLdCaZXjiXHxODSc4a4layt0FOhaurN5H348eUVXEEUaThgIl2IFVY7HRUbhCMMzja2cHNBu2VRi7MrybfB995myIno0nzUa9nlzqxyPCgrBiclLdKCIDvauudByHnmm8fl56xD4w4uyInq0XjSJPNPY1x9nZq3SgSI65ChSAI2nCHcthfn9oayIHh1WzSDONA745onLS9idaZy3fCnUHdWHGDs2bgGiQtjsWuLQhSecOTpBn80ZWi+cAOsc+mnO0HTacGLs9PQVCPvN7kZGcKYx4+YMecqWQL3RfYmx4xMWISo4lK4gSkgkEnReLzDT+L9PuL7WXQeq6FCoRkXUGNCFGDs8cg5iI6MoK6KDRCJBt80LYWBkpBL78egl7u84pANVdCjZpA4qdGpOjB0cNgMJcXGUFdFBamCA7gJdSx+u3sXzI+d0oIoOFTo2R4nGtVSOsz7TWF3X0svjF/H2wk3KiuhRvV8nFKheQeW4LDERB4fNYPYGi4mFObpsmEuMPdh1BF/vPaWsiB51R/VBnrLFVY4nxMTi8MjZzJ5zCzsbdFg5nRi7uW43fr1kd6Zxk6nD4FTQTeV4bHgEjo0nFxSwgI2LM1ovmkSMXV6yBf6fv1NWRI9W88bBNreLyvGIP4E4PW2ZDhRxWIMnnDk6g5szqMK6OUOjyUPIM43DI3CUcXOGNouFNjJsmzO0mDMGdnlyqhyPCAjCqanszjR2cMuD5rNHE2PnZq9G8C8fyoro0XbJZFg62qscD/Hyxfl563SgiA45ixdCo0mDibGTU5Yi/E8gZUX06Lh6FkytLFWO+3/6jqvLt+lAER3cKpZB7eHkmcZHxsxDTFg4ZUV0kEgk6LpxPrFryevlO9zetFcHquhQtE41VO3Vjhg7PGIW0zONBbuW7jzBoz3HdaCKDmVaNkDZNo2IMaa7ltSMAnx7/gZenbqsA1V0qNy9DYrWraZyXC6T4QDLowDVzDR+euA0Ply7R1kRPWoN7ga3SmVVjifGxzM909jUyhKd1pJHAd7degA/Hr+krIjDGjzhzNEZ+mzOULGLnpozmJgImzMcOsvNGRhE7UZm20F8e/CcsiJ6NBjbH7lKFlE5zvpMY0sHO7RbTm6/vr5qB3zefqSsiB5Np4+AY35XlePRIWE4MZHtmcatFownxi4sWI8/X3/SFUSR1gvGw9rFSeV4uF8ATs9gt2vJqaAbmk4fQYydmbESIT5+lBXRo93yacSZxoE/vHBh4QYdKKJD7tLFUH8seabx8QmLEBkUQlkRPTqvnU3uWnr3GddW79SBIjoUqPoP/h1I7lo6Mmou2zONNy8gzjT++eQ17m0/qANVdCjRqBYqdm5BjB0cNhMJsYyOAlR0LRFmGn+8fh9PD57RgSo6lG/XBCWb1lE5znrXEocOPOHM0SnqzBmOjGZ8I6On5gzF6tdApW6tibGDw2exu5FJy5xh/yn6oihRrm1jlG5ejxg7MJTdjYyBkZFg+/Xr01fx+sxVyoroUa13BxSuVVnluD7MNO68gTzL9dGeE/h06yFlRfSoPawn8v5TSuV4Ylw8011LZjbWgl1LtzfugeezN5QV0aPRpMHkrqWISBwdy3DXkrMj2i6ZTIxdXb4Nvz+w27XUfPZo2LnmUjkeGRiMk1PY7Vqyz5sbLeaOJcbOz12LIE9vyoro0WbxZFg5OagcD/H+jXNz1tAXRAmXogXVdy35B1BWRI8Oq2bC1Fp1pvGfLz9weekWHSiiQ95/SqHOCHLX0tGx8xEdyuZMY4lEgi4b5sHI1EQl5vXqPW5t8NCBKg4r8IQzR+cImTOE+vjh7OzVOlBEhxxFCqDx1KHE2OlpjJszrJxONmf4+hOXlmzWgSI6qDVnGL+QWXOG5JnGc2FkZqoS83nzETfX7aYvihKFa1ZG9X6diLHDI+cgLiqasiI6JFcHLYTU0FAl9v3Bczx0P6oDVXQo3awu/unQjBg7OHQGEuPjKSuig7qupfeX7+DFsQs6UEWHip1bonjDmirH5XI5+11LAjfVXhw9j3eXbtEVRJEaA7ogf9XyKseTEhJwYOh0Zm+wmFpaoPP6OcTY/R2HmO5aqj+6L3KXLqZynPWuJQt7W7QXmGl8Y607vF+/p6yIHk2mDYdjgbwqx2PCInB8AttdS60XTiDGLi3eBP8vPygroker+eNhk9NZ5XjEn0Ccnr5CB4ro4FQgL5rNHEWMnZm5iumuJY524Qlnjs6xsLNBh1UziLEba93h898nyoro0WTKUDgVyqdyPCYsAicZdr+2cXEWnmm8eDPTppHqzBnOMux+7ZjfFc1nkTcyZ2etYto0st3SKbBwsFM5HvzLBxcXbdSBIjrkKlEYjSYOIsZOTFrM7A0WAOi4ZhZMLC1Ujvt9/Ibra3bpQBEd8lUqi1rDehJjR8bMY/oGS5eN84gzjX89f8t0+3WxetVRpUdbYuzQiNnM3mBRO9P49mOm26/LtW6EMq0aEGMHh81g9gaLgZERum0hG6e9OXMNb8/foKyIHlV6tEWROlVVjsuSknBwOLsdLMZmpui6kdy19HjfSXy585iyInrUHtoDeSuUVjmeGBePI6PJRposYGZtJTgK8M7mfUx7LTWcMBAuxQupHI+LjMLxCeyaRnK0C084c7IFlbu1RtF61VWOy2UypudeqjNneLTnBNNfajUHCZszsGwmZ2pliY5rZhFjd7bsh9+nb5QV0aPBuAHIWaKwyvG4qGicYTjZbuloj3bLhGcaB3v5UlZEj2YzRsIhXx6V41HBobjI8KxTu9wuaDV/HDF2ceFGRAQEUVZEj9YLxsM6h2rXUpivP66t3K4DRXTIUTg/mkwdRoydnbUaMeERlBXRo/2KaTC3tVY5HvDNk2kDwTxlS6De6L7E2Kmpy5gdEQYAndfNIc409n79gWkDwYLVK6DGAPJM4+MTFzE7IkwikaDb5gUwMDJSiX27/4xp352STergn47NibFj4xcyOyJMOdNYwGvp/dW7OlBFh386NEOJxrVUjsvlchyfsJDZGyyGxsZqvZa4gSAnM/CEMydboG6m8btLt5k2kyvRsCYqdmlJjB0bv4DZLzV15gzPj5zH94fstmX+074p0ZxBlpjIdGW7obExugm0Xz/YdYRpM7lqfTqg0L+VVI4nxMYx3aJnbG6GLgIzjW+t92C6m6HOiN5wLVdC5XhseATOz1unA0V0MLe1EZxpfGXZVqa7GRpPHgLnwvlVjkcEBDE999I6h5Ng19L5eeuY7mZoMWcM7PLkVDke/MsHN9a660ARHRzc8qD57NHE2OkZK5ntZgCAtksmw9LRXuW434evuL/jkA4U0cGlWCHhmcaTlzDbzQAAHVfPhKmVpcpxz2dv8OzQWR0oooNbxTKoPZw80/j4hIXMdjNIJBJ03Tif2LX06eZDprsZitaphqq92hFjx8azm2znaA+ecOZkG1yKFkRdgUqR4xMXMfulBgDtV0wnzrf9fOsR019qef8pJeh+fWzCIma/1CQSCTqtnU2cb/v69FV8vv1IB6roULhWFeINFrlMhhOTFutAER2kUik6r59DrBR5vJftbobSzeuhVLO6KscT4+NxetoyHSiig4GhITqvJ7edst7NULFLKxSqqWoaGRcVzbQ3g5GpqWCynfVuhn8HdiXeYIkOCWO6m8HUyhLtlk0hxi4u2sR0N0P9Mf2IN1jCfP1xbdUOHSiig6WDHVotGE+MnZ29huluhqbThhPHwgV888Ttzft0oIgOdrld0HTGCGKM9W6GVvPHwcLeVuW4z5uPTHczOBV0Q8MJAmPhGO5mAIC2S6cQx8J9u/8Mr05e1oEijpjhCWdOtqLptGHEWaesf6nZ5XbR2y+1lnPHEr/Uvj94znSLXo7C+VF7WA9i7PiERcy26AFAm8WT9LKbwbVcSVTt3Z4YY7mbAQDaLZ9G7GZ4dvgcvj96oQNFdCj0byWUb9dE5bgsMREnp7A7OkgikaD9imnE2P2dh5n2ZijVrC6K1a+hcjwhNg5nZrDbzSA1MED7FWRjMda7GSp2aYV8lVVHhLHezWBobIy2SycTY1eWbmHa/LpG/87EEWERfwJxZdlWHSiig7G5maCZ3AXGuxnqjeoDe7fcKseDf/ngBsPm1+a2NnrbzdB48hBYOauOCPP7+I3pbgYbF2c0njyEGDvBeDcDR/PwhDMnW2Fua4MWQl9q01cw/aXWaOIg4txLv4/fmDYcss7hhMZThhJjrLfoNZ85CmY2VirHPZ+9YdpwyDGfq3A3wwS2uxlazR+vl90MuUoUFu5mYLxFr82SyeRuhlNXmO5myF+5HCp1baVynHVvBkWyndTNwLo3Q7H6NQS7GVj2Zkg+5+RkO+vdDOXaNCaOi4qLisbZWex2MxgYGqLdcvJNtWsrtzPdzVClR1tiNwPr3gxGpqZoKzA6iHVvhlpDuhNN7ln3ZjC1skTLeWOJMda7GRqMGwCbXDlUjgd8/cl0NwNH8/CEMyfbUXNwN3KL3u8/evClRjaZOsf6l9rY/sItegwbDlk62qPpdHKL3ulpyxEfw26LXtNpw8gtem8/4qEHw90MeXKi4fiBxNiJiYuQlJBAWRE9WswZw7sZUsF6N0PrRRP1tpuhiuAMRMa7GZZN1UtvhsI1K6Nc28Yqx1n3ZtDrboamdXg3QypY72ao0Lkl0fBcH7oZ2i0ljw5i3ZuhRv/OcCleSOV4xJ9Apr0Z9LmbgaNZeMKZk+1Q26LH+Jda9X6dyC16jBsOqftSY91wqO7I3oItejfXsWs4pK5F78wMxrsZJg0W7mbQ0xY9fe5mYNlwSG03A+PeDK0XTNDPboaSRfDvgM7EGMveDECymZw+ejPkr1JeL70Z1HUzPN57Um+7GVj2ZpBKpeiwUk+7Gdqq6WZg2JvBwNAQ7QW6GVj3Zqjasx3ylC2ucjwqOBSXFm3UgSKOGOEJZ062pFybxoKGQ2dmrdKBIjqoa9Fj/UutSs92woZDC9brQBEdjExN0XYJ+QYL64ZDtYZ0F+xmuLpimw4U0UGvuxnGDeDdDKk4NXUZ+90MAt4MvJuBTVqo8WZ4cfyiDhTRIUeRAnrbzSDozXDxFt5fvasDRXQQ6maQy+U4PoHtcVFC3QysezPwbgZVmO9m0GNvhg4rZxBjN9ftRuAPL8qKOGKEJ5w52RJ1X2oPdh2Bz9uPlBXRo1TTOijW4F+V4wmxcTg9neEvNakU7YW+1Bhv0avYuaWg4dC5uWt1oIgOvJuBdzOkRB+6GRzy5VE5rg/dDELeDPrQzSBkOMS7GdiEdzOocnzCQr3sZvh08yH73Qx66s3Auxn+Rp+9GfS5m4FlbwaO5uAJZ062Ra3hEOstesunCnypMW44VK86Sjevp3I8KSGB6S81iUQieAf5LustegLdDPHRMbybgVHUdjMwbjjURshwiPFuBv32ZiAbDulrN0Pg91+8m4FR1HUzPNqjx90MiYmUFdFDb70ZihRA7aF62s2wSKCbQU+9GXg3A7vdDBzNwBPOnGxN60UTYWiin19qVXu3J8ZYNxxqq6eGQ4X+rYTy7ZqoHJclJeltix7vZmATdd0MrBsOqetmYN1wSF+7GWr078y7GVLBuxnYRF03w+kZK/W2m+E+72Zgkuaz9LSbIT/3ZkiNPnczHGfcm4GTdXjCmZOtcczninqCLXpsf6m1Umc4dO66DhTRIVeJwnrbotdGX1v01HQzHGe9RY93M/wF6y166roZmDcc4t4MKjDfzdCjrd56M/Buhr8J8/XX226Gs7NW62U3A/dmYLybwd5W5bjeezPoYTfDt/vPmO5m4GQdnnDmZHuaTBVo0XvL+Jdabhc0nDCIGDvOuOFQSyHDoYcv2DYcKpxf0HDo2PiFTLfotV40kdii9/7yHby7fFsHiujAuxl4N4MCfTYc0otuBgHDIaa7GQwM0H7FdGJMn70ZeDcDm/BuBlX0oZvB3i23ynF96GZozr0Z/oJ3M7DbzcDJGjzhzMn26LXh0MRBsM6h+qXm/+k704ZD1jmc0HjKUGKM9S81IcOhX8/f4unBMzpQRAd1hkMnJi7W324Gllv01HUzMN6ix7sZ/kYvvBkEDYcY72YQMBzSZ28Gfe5mODt7tQ4U0YF3M+inN0NbPe1mqDWkO5wK5VM5rs/eDGf11Jsh4Jsnbm/epwNFHDHAE84cUVBrSHdBw6GrK7bpQBEdkr/UxhFjzBsOje0vaDh0a+MeHSiig6WjPZrOGEmM6UWLnlA3w+5jOlBEB3XdDCf0tZvhwXPezcAoQt0M3JuB3Rss7ZZP490MKdDnbob7Ow/D579PlBXRg3czqMK8N0OXVoLdDOfmrtWBIjoYGhuj3bIpxJjedjP8CdTbboYLjHczcDIPTzhzRIGBkZHefqlV79dJuEVvyWYdKKKD2i+1+esRFRxKVxBF6o7oRTQcCvHyxY21u3SgiA5quxlmrkRsZBRlRfQQ6mbw+/iNdzMwCu9mUIV5b4b547k3Qyq4NwObqO1mYN2bgXcz/IU+eDMIJdvv6kM3w7+VVI5zbwb962aICg5lupuBk3l4wpkjGsq2bkRs0YuPjmH+S02oUuT66p0I/uVDWRE9qvRsp7ctekKGQ5cYb9ETNBzSixY93s2QksDvv9g3HBLoZjg9bbn+djOw7M2gxnCIezOwibpuhuMTFrHfzWDCuxlSwrsZ2KRwzcoo17axynFZUhL73Qwrycl2ffZmODODdzNwOAp4wpkjGpLn4Ql/qfm++0xZET1KNqmDYg3+VTmeEBuHMzNX6kARHaRSKdoLzEC8ud4DgT+8KCuiR8XOLZG/SjmV47ERkcwbDqntZvBju5shV8kiKscjAoJwZdlWHSiig7G5GdosmkiMnZ+3DtGh7LboCXUzBP/ywc31u+kLokRa3gzx0TGUFdGj0aTBgt4M93ce1oEiOqTVzcBysr35rNHEbgbPZ2/w/PBZHSiig2M+V9QT6maYyHayXV03w38XbupAER3UdTMcn7iY6WR726VTBLsZvtx9ogNFdFDbzcB6sl2gm+HRnhPwevVOB6roUKx+DZRuXk/leGJ8PE5PX64DRZzsDE84c0RFvkplUalba5XjcpkM5+exOydLIpGg/fKp5Ba9fafg//m7DlTRoVi96sQvtaSEBFxctFEHiuigrkXv3raDCPH+TVkRPdR1M1xdzu7M9uQWvanE2I217ogMCqGsiB6V1RgO3Vy3m74gSqjrZriybCvTY2TUdTPc3XZAB4rooK6b4eLCjUiIi6OsiB7quhke7T2pA0V0sHSwE+xmODd3LdNjZJpMFehmePMRr05e1oEiOqjrZjg7ezXTidcWc8YQuxm+3X+GD9fu6UARHdR1M5xj2CwTUOPNcPEWvj96oQNFdFDXzcDy/G4AaLtsKrmb4fA5posAORmHJ5w5oqP1wgnEFr0XRy8w/QEn9KUml8lwYQG74yUA4S+1h7uPIfAnu1XOQoZDifHxuMTw/G51hkO3N+9DuH8AZUX0EOpmiIuMwrVVO3SgiA7quhmur96JmLBwyoroUbFzS6LhUFRQCG4zbJBqaGyMtksnE2OXl25heqSIkDdDiPdvPNh1RAeK6KDOm+HigvVMVzkLdTP4f/qOZ4fP6UARHdR1M5yfu5bpKudGkwbDylm1m+HX87d4e/6GDhTRwcbFGY0nDyHGzs1Zw3SyXcib4dPNh/hy57EOFNFBnTfDecYTr0LdDK9PXWG6ylmom0Eul+PCfHY7cTkZhyecOaLDMZ8rag1VvYOsDx9wLeeOhYGRkcrxJ/tPwf/LDx0ookOuEoVRjZBslyUm4tKiTTpQRI/WCycQK9vvbz+EEB8/HSiiQ/7K5VC+fVOV4wkxsbjCcJWzRCJBW4GK11vrPZiuci5WrzqKN6ypcjw6NBw3GK5ylkgkaLOYnHi9umI701XO5do0Jibbw/0CmK5yNjA0FEy8Xlq8mekq5yo92xGT7YE/vPB4H7tVzkampmg5dywxdmH+OqarnGsO7gZ7t9wqx33efsTrU1d0oIgOplaWaDZjBDF2fu5aphOv9cf2h5WTg8rx7w+e4+P1+zpQRAdLR3s0nDiYGGO94rXJ1GEwtVZNtr+7dBs/Hr/UgSI62OXJibojexNjLI9ABIAWs8fAyNRE5fjzI+fh+/6LDhRxsiM84cwRJY0nDdHLDzj7vLlRvV9HleNymQwXF6zXgSJ6NJ0+AlIDA5XjD9yPMl3l7FKsECp2aalyPDE+HpcZrnIGgOazRhGP3960l+kqZ7eKZYhjZGIjInF99U4dKKJHc4FKuOurdjBd5Vy0bjWi03tkYDDTxokSiQTNZ48hxi4v2cx0lXPZ1o2Qp2xxleMhXr546H5UB4roIJVK0WwmebzEhQUbmK5yrtStNZwK5VM57vfxG54fYbfK2dDYGE2nDSfGzs1dw3SV878Du8Amp7PKcc9nb5ie5WxiYY6GEwcRY6xXOdcd2RvmdjYqxz/deMD0LGcLOxvUG9WHGGM92d5wwiAYm5upHH918jK8X7/XgSI62OR0xr+Duqoc14ciQE764QlnjiixyemMmoO7qRzXhw+4JlOHCVQ5n8afrz/pC6KEU0E3VOnZVuW4LDERlxezXeXcbOYoYpXzve0HEerrrwNFdMhTpjhxpEhCTCyurtiuA0X0EEq83ly3G1HBoXTFUKRQjYrEkSLRoeG4ud5DB4roIJFI0GLOGGLs2ortiIuKpiuIIqWa1oFbJXKV873tB3WgiA7JyXby+/zS4s1IjI+nrIgeFTo2h0vxQirHA7//wuP9p+gLooSBoaFwxev89UxXOVfr0wH2eQlVzm8+4vVpdqucjUxNBc0yzzFe5Vx7WE9YOtqrHP92/xk+3XigA0V0MLO2QoNxA4gx1sdL1B/bH6ZWlirH3128hR9PXtEXRAkrJwfUHt6LGGO9yrnx5KHEUafPD5/D7w9fdaCIk93gCWeOaGk0aYhefsA5uOVB9b4dVI7LkpJwcSHbs5yFq5yPIcjTWweK6JCzeCFU6NxC5XhiXDwuL9XjKuc/gZTV0CNfpbIo1ayuynF9qHIWmvd5bdUOxIRHUFZDj6L1qqNgjYoqxyMCgnB78z4dKKKDRCIRPOeXl2xGQizbVc65yxRTOR78ywcPdx/TgSI6SA0M0Fygyvnigg1ISkykrIgelbu3gVNBN5Xjfh++4vnR8zpQRAdDY2M0mTaMGLswbx3Tidd/B3aFtYuTynHPp6/x7tIt+oIoobbKmfFke92RvWFua61y/OP1+/h676kOFNHBwt4WdQWqnC8wnnhtOGEgscr55YlL8H7zQQeK6GCbKwdqDhIoAmS8+5qTPiRylj/tOcxzePQc3CTM9qzUtRX6H2D3iy3I0xszC9WBLNVFmdTAAHM/3SBezLDC7j7j8cjjuMrxmoO7ofuWRTpQRAff918wv1QjlQ26oYkxFny/C9tcOXSkTPtsaTeY6GbfcOJgtF82VQeK6PDjySssrdJG5biptRUW/rgLC3vbv47L5XLIZTIkJSZClpiEpISE5P8q/v///ytLTERSirji/1P+N/n5iSrPSflceZIMEqkEkEgglUohkUohkUr+/7/S/z/2v/9PPvb3/yviqZ9/asoyotnKv4O6oUa/jn89X/rX6/3/MQMDGJmawMjUBIamJjA2MyXerMpufLh2D2sbqnoUWDk5YMGPuzCxMNeBKu0jl8uxpHJreD57oxLrvG4O6o7sQ10TLV6euISt7VUNtuzz5v4/9s46LIq2C+P3Lt0tSJctKmIrdnd3t6/dCtiC3d3d3d1iC7aohKQg3b37/YHwic8MbMzuwLC/6/J69cwwe3ifnTj33M95sPTHAyirki/WuYAgNxdLq7dFpF8AsW3YwbVoOIx8sc4Vnh08g8MjZhPx8lUrYMGHm6XiWiUJOVlZWODYHPGhEcS28Rd2oVb3dixkJR/ubdqPM9OWEnHbejUx98VFyllsXCAjJRUedq5IiYkjtk27dxyVWzZiISv5cG3ZZlxZuJ6IV27dBNPucPclckpsPDzsXJGRnEJsm/fqEmwpZjRxhXOzvXBnLbnOjHOvDhh3lrsGofjwSCxwaIqczMIzs3g8HhZ9uQOzyuSMJgVlB4XgrKBUkxARBQ971zJ5gTs6dj7ldONGI/pg6P41LGQkH6J+BGFx5VYQ/tPzT0lFBcv8H1JO2eQKe/tPolzNvuXUEei7cRELGcmH0Hef4enciYiramrA8+dTyoVp2CI3OxuZqWnISstAVlr6//+kphf6d2ahf//ZNzWN+HfElx/ITCYXjVPV1ICyqgohFCugh6+sXCBCq6irQUVDvUCQ/n9MrdA++WJ1oX1of1adch8VdTXwlZVFEhSEQiHWNOmNwGdviW291rqjzcwxsvhfUyL4cPUetncZRcT1zE2xPOARVNTJVeC5gEAggGetjgj/6EdsG7R7BVzHkP0RucKr45ewfxDpbjdxtMXir3ehpKzMQlayJzcnB4sqtURMYAixbfTJLajTj1y3gSs83nkUxyd4EHGrWlXh5nONs8JrVnoGPOxdkRRJrj8x+cZBVGvfXP5JyYlbq3bgwrxVRLxC03qY8fAUZ8c8PTEJ7rZNkJZArj8x6+lZOFLMaOIKF93X4KbXNiLu1LkVJl7h7iy9pKhouNu5Ipti/QmP9zdgWYNct4ErnJy8CA+3kq3v6g3qjpFHN8o/IQUlBoXgrKDUQ3eBqzuwG0Yd426vrJifoVhYoUXZdDkPm4EXh88T8abjB2HgDk8WMpIPEZ+/Y5lTO8LlrKKuhuWBTygXpuEKO3qMpVzNvu2ccei5SjyXc25ODtITk5GekIS0+ESkJybTCMGkUJyVlkEIw38LzArRVwEVPD6/QIRW1dSAhp4O1HW1oaGr/efvOgWxxF+/8ZiihYaWkSGW+N2FlpEBJwt0oVCIFXW7IuTtR2Jbvy1L0GIS9SrwXMDn3A3s7k32eTW0scDS79x2OS+p1gZR3wKJbcMPrUODob1YyEo+eO8/jSOj5hDx8lUrYMHHW+Dzudn1MDszEwsdmyM+7BexbfzF3ajVrS0LWcmHexv34cz0ZUTcrn4tzHl+gZPXdSDP5exu2wSpsfHEtun3j6NSCw67nJduwpVFG4h4lTaumHqbuwsCp8TGw922CTJTSMPE/NeXYVOnBgtZyYezM5fj7vq9RLx2744Ye4a7aw7Fh/3CAodmxPoTPD4/zwRYyYGlzBSwjUJwVlDqiQ+PxAL7ptQXuM+3Oe1yPjJmHrz3niTijUb2xdB9q1nISD4U6XIOeARDK3OWMpM9e/pNxNvTZJ/HltNGou+GhSxkJB9CfD/BqzbZx1pFXR2jTua1z0mLT8wTkfOF5D9/zxOW//93qml+ChSUFvjKytDQ1c4TrP8Rq6kE7Pz9NHR1/voZbaioqbH9qxB8uHIX27uSiy3pW5hhmf9DTrucl9fsgIhP34htg/esRJPR/VnISj68PHYRBwZPI+LlKthh0Zc73HU5Z2fnuZyDQolto09tRZ2+5P2OKzzacQQn/ltAxK2cq8Ht7VXOCq9Z6RnwsGuCpChy/YnJNw+hWrtmLGQlH26u3I6L88m6pEKz+pj58BQLGcmHtIREuNs2QXoiuf7EbO9zcGjkwkJW8uGi22rcpFjUvUaX1vjvMinIcoXEyN/wsG9K6XJe8OEmLJzIdRu4wolJC/Fo22EiXn9wD4w4Qr54UVA2UAjOCjgB3QWO69M4YoJCsbAijcv5+wOY2FuzlJnsOTB0Bl4eoXA5TxiMgduXs5CRfAj/9A3La7Qv1S5noVCI7IxMpCckIZVGJCYF40RE+gUgKy2d7fQVKOAEymqqhAitZWQAHRNDaJsYQdu48N/z/ytLoVooFGJFnS4I8flEbOu/dSma06wCzwXenr2OPX3IRdWMbC2x9PsDKKmosJCV7BHk5mJJ1TaI+k7hcj68Hg2G9GQhK/ngve8UjoyeS8TNq1WEx4ebZdLlPOHSHtTs2oaFrOTD3Q17cXYG+Yxq18AZc56d56zYnpGcAnc7V2qX84MTqNS8IQtZyYerSzbi6uKNRLxqW1dMucVhl3NMHNztXKldzm+uwMbFiYWs5MOZGcsoF/iu3acTxp4mW41whaJczou/3oVpRXuWMlPAJgrBWQEnKMsXuCOj58J7H+kOaDyqH4bsJXumcYWo74FYXKU14XJWVlXFsoBHMLAsz1Jmsmd334nwoVjNvtX0UeiznnQNyZrcnBykxMQh+Xcskn/HIikqBsm/Y/L+HZX335SYuEJu43/PVQUKFJQO1HW0oW1imCdGGxtCm0ag1jExgraJIdR1tMUSUd5fvoMd3che1QaW5bHU/2GJdGYzQVEu5yF7V6HxqH4sZCUfXh69gANDphNx04r2WPTlDmcX0cvNzsbCii0Q+zOM2Dbm9Da49CHXLuAKD7cfwcmJ5POKde3qmP/mCmeF16y09LxezhQu5ym3DqNq26YsZCUfbq7Yhotu5BozFZs3wIwH5GxNrlCUy3nO8/Owb1Cbhazkw4X5q3BrJblYXo2urfHfJY67nO1ckZ2RSWxb8PEWLKpXYiEr+XBi4gI82k6+SKk/pCdGHCYX0VTAfRSCswLOUFYvcNGBIVhUqSXpclZWxtLvD2BsZ8VSZrLnwJDpeHn0AhFvNnEoBmwlVwPnCuGfvmGZE7mau4qGOpYHPoaemXQuZ6FQiMzUtD+CcTSS/gjJ+eJx8u+YP6JyXjw1Np5wXCsQDx6fD1VNDahpaUBVM++PiqYGVDXUoKSqisyUVAS98CV+TklFGXUHdoOqpgaUlJXBV1aCkooy+MrKUFJWKvRfvrISlJSVC7bn/5v/z35KykpQUlGhjBf8nIoKeHweIASEAgEEAgGEAgGEAuGf/wogFAoLxaj2Efz7MwIBBP/8+5L7Wvz68oP43V36dEK1js0pfz43Oxs5mVnIychEVnoGsjMykZORiez8P39iZDyzUFzxYkR6lFVVoZUvRucL1MZ/BOu/Yjp/hGpNQ32sqt8dob6fiWMN2L4MzSYMYeG3kA9vz1zDnr4TibixnRWWfLvPWZdzbk4OllZrS+lyHnF0I+oP6i7/pOTE070ncXTMPCJuXr0SPN7f4LTLeYFDMySERxLb/ruyDzU6t2IhK/lwd/1enJ1JupztG7lg9tOznBXbM5JT8no5xyUQ22Y8PImKzRrIPyk5cWXxBlxbQq4rVK19M0y+Qa5DxBVSYuLyejmnphHb3Hyuwtq5OgtZyYfT05fi/sb9RNylbyeMOcVdl3NcaAQWODRDbnZ2oTiPz8div3swrWDHUmYK2EIhOCvgDEVe4Djucj48ag6e7T9NxBuP7o8he1aykJF8iPwWgCVV25RNl3Of/+Bz9joRbz1jNHqvI1eAF+Tm0rqQk/4SkvP/TdV7rKzC4/OhpqUJVU31QmLw3+KwqqY6VLU0C/1breDf6n/2//+/C/b7c1xlVdVii8xNbYfg650nRLzz4mnovGiajH579vn24Bk2tBxIxLWMDOD58ynUtbVk9tkCgaCwIP2XGJ2VnkFuoxWyMwr+m5mShvSkZGQkpSA98f///ffeVVbh8XhQ1dZEZjI5DVfTQA/DDq2Fsa0V9C3MoGmgxylxRiAQYHmN9oj4/J3YNmTfajQe2ZeFrOTDiyPncXDoDCJuWskeiz5z1+Wck5WFhRVbIC44nNg25sx2uPTuyEJW8uHB1kM4NXkREbd2ccL815c5dW7/TVZaOtztXJH8m8LlfPsIqrZxZSEr+XDDaxsuuZMu50otGmL6/RMsZCQfUuPzXM4ZSaTLee6LC7Cr78xCVvLhwryVuLVqJxGv2a0NJlzcw0JG8iHx12942JMuZx6PhwUfb8G8WkWWMpM9xye44/HOY0S8wdCeGH6IuyZABdQoBGcFnOL4fx54vOMoEef6BS46MASLKraAIDe3UJyvrIylPx7A2Ja7Lud9g6bi9fFLRLz5pGHov2UJCxnJh/CPflhWoz0R5ysro+HwXshMSfvLkZzX0qKsXe7VdbShoa8LTX1daBro/vV3vcJ/19OBmrZWYTH4L3FYFDFYHvh7v8HaJr2JuKa+LpYHPYGmvh4LWckeoVCI9c374cfjV8S2Hqvmod2c8SxkxSxCoRA5mZlIT0xGelJKgQj9/cFzXF++hdhfWV0NFZs1QGZKat6+ScnI+POz/76A4zIq6mrQtzCDvoXpn/+Sf9crXw7Kqqpspyoyb05dwd7+k4m4sb01lvjd47TLeXGV1oj2/0lsG3lsE+oN7Cb/pOTEkz0ncGzsfCJu4VQZ7u+uc9flnJEBD4dmSIyIIrZNvLofTp1aspCVfLi9djfOz/Yi4g6N62DWkzMl4plDFqQnJcPdtgnS4hOJbTMfnUKFpvVZyEo+XF64HteXbSbi1To0x+TrB+WfkJxIjo6Fu20TyjVYOO9ynrYE9zcdIOJ1+nXG6JNbWchIPsSFhGOBY3PCSMFXUsJiv3so52jLTmIKWEEhOCvgFHQXuLIwjePwyNl4duAMEW8yZgAG717BQkbyIdLPP8/l/M+lTFlVFcsCH8PAwoylzKRDKBQiJSYO8WG/EB/6C/FhkUgo+Hvev2MCQzgtLqmoq1GKxLnZOZTubhUNdcx8fBrGdlbQ0NOBkrIyC1nLlo1tBsPv7lMi3mXJdHRaOJWFjOSD3/1n2NiKdDlrGxtiedATmbqc2UQoFGJVg+74+eo9sa3PxoVoNXUksX9matpf7uk8Efr/TuokZPwlaKcnpSAjMQnpSSlIi09ESkw80uISOPdySqecMfTNyxUpTpcUt7QgNxfLarSnbCMzdP9qNBrBYZfz4XM4OGwmES8TLucKLRAXQrqcx57dgdq9OrCQlXx4sOUgTk1ZTMRt6tTAvFeXSsQ5KQsyU9PgYeeK5OhYYtvUO0dRpXUTFrKSD9c9t+Kyx1oiXqllI0y/d5yFjORDalwC3O1cqV3OLy/Crl4t+SclJ87PXYHbq3cR8Zrd22LChd0sZCQfEiKi4GHvipzMf9aY4vGw4NNtmFetwFJmsufYeDc82UWezw2G9cLwg+tYyEgBWygEZwWcg3YaB8cvcNEBwXm9nClczsv8H8LIxpKlzGTPvoFT8PrEZSLeYvJw9Nu8WO75FIdAIMgTk/+IxwlhkYgPjUB8WOT//x32i3hAKY0oq6lCp5wxdEwMoWmoT+EwzvsvlbCsoq5Oe9xtnUfi47X7RLyD+yR0Wz5Llr8Sq/g/fY21rn2IuKa+Ljx/PoWGni4LWckeoVCIdc36wf8J6XLuuXo+2s4ex0JW8uHj9QfY1mkEEdcrXw7LAh5DVYP+PJEEQW4uUuMSkBwdh9SYOCRHxyElOhYpMfFIjo5FSnQcUmLikRId+2dbHCd6XatoqEPf3LREuKVfn7yMfQOmEHETBxss9rvHyZdpQNEu51HHN6HuAA67nHcfx7FxbkTcokZluPty3OVs3xSJv34T2yZeOwCnji1YyEo+3F6zC+fnkIYQxyZ1MfPxac6K7UW6nB+fRgXXeixkJR8uL1hHOWupescWmHSNdMJyhaJczu6+12BVqxoLWcmHU1MX48Hmg0S8Tv8uGH2C/C5whdjgMCys0ELhclagEJwVcI+yPI3j0IhZeH7wLBF3HTsAg3Zx1+X866s/llajcDmrqWJ54BPom5vKLReBQIDk3zEFonH8X2JyvkM5ITyqVAs0Wob60ClnlPfH1AQ65YygW84IOqbGf+LG0P3zd3UdbZkUTT9fv8fKeqT4oK6jDc+fT6FlqM/4Z5YUNrYeBL973kS8y9IZ6LSAFKm4gt89b2xsPYiI65gYYXnQE6hpabKQlewRCoVYWb87gl+TLue+mxah5RRSjJYnQqEQmSmpeeJzTJ4AnfxHoE75S6D+v1gdh/RE0uFVWtApZ1wgRBtYmsHI1hJGdlYwtrOCsb01tAz1pb7mCXJzsdSpHSK/+hPbhh5Yg0bDyZdOXOH5obM4NJx8aWhW2QELP90uky7nced2wrkn2UKLK9zffACnp5It0Gzq1sS8lxc5K7xmpqbB3bYJUmLiiG3T7h5D5VaNWchKPlxfvgWXF5AmoMqtGmPaXdI0xBVS4xLyejknpxDbuO5yPjdnBe6sIV3OtXq0w/jzZJwrlGmX87j5eLKb7M3ecHhvDDtAznJQwE0UgrMCTkJ3geN6e4nf/j+xuHIrwuWspKICz59P5Sq8ypu9AybjzckrRLz1zDHovdadkc8QCARIjor5IyRTt7pICI8qdYt/Kauq/iUgk6KxTjmjP383hraxQYnph7q10wh8uv6AiHO9vcSPJ6+wrik5rV7LUB8rQp9DVVODhaxkj1AoxFrXPgjwfkNso2ovwSU+XruPbZ3J38/AsjyWBz4udX19c7Ky8gRpCoE6+R8HddS3AAhycos/aAlBXUcbRnaWMLa3zhOh/wjRRnZWMLa1FPn8fH3iEvYNJK9jphXtsejrXc46XnNzcrC4citEBwQT27jeXuLxzqM4PoFc9Jfzi+ilZ8DD3hVJkdHENq63l7i1eicuzCUX9+Z6e4n0xKQ8l3NCErGN68LrJY+1uOFJ9u/lenuJpN8x8LBzpXQ5L/pyF+WrOLKQlXw4OXkRHm49RMS5vsZUzM9QLKzQAoKcnEJxvpISlgc+hqG1BUuZKZAnCsFZASeJDQ7DAsfmxAVORV0NK0KfQ9vYkKXMZM/B4TPx4tA5Is71VgMRX35gWfW2hMtZXVcHK8OeQ11HW6TjpCclIyYwBNEBIYgJ/P+f6IAQxIVElCoxWdvYEGZVHP8RjUkxWUNPt1QWskGv3mFV/e5EXNfUGJ7B3lBRU5N/UnJiQ6uB+Hb/GREfuGM5mo4fzEJG8uHr3afY1Ib8/YztrLD0x0POuh+FQiFW1uuG4DcfiG1cbzXge/4mdvUiF4bUNjZE1XauSAiP+vMnkrKQLWnompnA2M4KRnZWMMkXov8I1AaW5Qu+w4LcXCyt3haRfgHEMbi+oNqzg2dweMRsIu7QuA5mPyVncXGF7MxMLKzQAvGhEcQ2rrcauLdpP85MW0rEud5qICMlFR52rpQuZ49312FZsyoLWcmHa8s248pCUmzjequBlNh4eNi5Ei5nHo+HpT8ewsTBhqXMZM+52V64s5YU1bk+Ezc+PBIL7JsSs1uVVFTgFewNvfLlWMpM9hwdOx9P95AmwDazx6HXanKxXAXcQyE4K+AsR0bPhfe+U0S867KZ6OhBrgDPFaJ+BGFxpZaE8KplZJDnfmS432dJYnffifA5c42I/z3tXJCbi4TwSEQHBCMmMBTRfwnKMYEhSI2Nl3faYqGirgYDK3MYWJpB37I8DKzKQygU4taK7cS+pdX9KA6b2w/Fl1uPiTjXp51/e/gcG1oMIOKmleyx6At33Y9CoRCrG/VE0AtfYtu48zvh3IO7087fX76DHd3GEHGuTzsXCARYXqM9Ij5/J7b9Pe1cKBQiPTGpQHzO+xP1//9G5P09OSqmxC6KyFdWhqG1eYErOj0hCW8p7mlcn3aem5ODhRWaI/ZnGLFt3qtLsK1bk4Ws5MPDbYdxctJCIs71aedZ6Rlwt22C5N8xxLbFX+/CrDJ33Y83V2zDRbc1RJzr087TE5Mw37oxsYgeX0kJy4OewNDKnKXMZM+F+atwa+UOIt5iynD027RY/gnJiaSoaLjZNCbaS5QFQ9jx/zzweMdRIt7RYzK6LiMXy+UKMUGhWODYjFjkXkNPByvCXnB20W8F/0chOCvgLBGfv2Np9bZEXNfMBJ4/n3La/bij+xi8v3SHiA/a5QXXsQNZyEg+BL30xaoGPYi4uq427Bs4IyYoDLE/w0qsS1lFQx2GVubQtzSDgVV5GFiWh4GlWSGBma4/6PoW/fH94QsiPurEZtTt31Ue6bPCl9uPsbndUCJuUaMyPN7d4KwIJxQKsaJOF4T4fCK2cX2hpbdnr2NPn/+IuKNrPcx6fJqFjOSDQCDA4sqt8PtHELFt1tOzcGxch4Ws5IP3/tM4MmoOEXfq1BITr+4X61i52dlIjIz+R5D+R5wuBW7peoO6wbZerQK3tLGdFaf6mN/dsBdnZywn4nUHdMWo45tZyEg+ZKamYb5VQ2JBNR6Ph6X+j2Bib81SZrLn6pKNuLp4IxFvOn4QBu7wlH9CciI1LgHzrRoS1xxlVVV4Bj+Fnhl33Y9nZy7H3fV7iXjbOePQcxV33Y/x4ZFwt21CzMRV09bCyrDnnF0AGijCELZ8Fjq6T2IhI/kQ9T0Qiyu3Il54axsbwivkWZk0hPXbsgQtJg1jISMF8kQhOCvgNHTux+GH1qHB0F4sZCQfvj96gfXN+xNxsyqOWPT5TqkX4QQCARIjov64lEP+71QOCEbw20/EA1xJQFVTI09E/iMeG/xxJ+v/JSpr6kve2uLDlbvY3nU0EbetVxNzX3DX/SgUCrHMqR21+/HecVRu2YiFrOTDy6MXcGDIdCJeuXUTTLtDuii4Qm5ODhY4NkNcMLm41vw3V2Dj4sRCVvLh4fYjODlxARF37tUB486SbimukJ2RATcbGvej3z2YVXJg9POKdUv/iSVFkfmwiU45Yxjb5S1iaFrRDmaVHWBa2QGmFe1LnRidnpSM+ZYNiWnnfGVleAY9gYFleZYykz107seWU0eg78ZFLGQkH5J+x8DNuhHpftRQz3M/GhmwlJnsOTFxAR5tP0LEOy2cgi5LZrCQkXyI+RmKBQ6k+1FTXxdeoc857X48MGQ6Xh69QMR7rXVHm5nkbCauQGcI0ytfDp4/n5aYdWJkwfauo/Hhyl0iPmj3CriOIWctcoXA52+xuhGpu5g42mLJt/ucnZWpIA+F4KyA03y+9Qhb2pNvzqxqVYWbzzVOi3BeLp0R6vuZ2Db5xkFUa99c/kmJSUZKKmKD/t/yIiYwtEBgjg0KI/pgsYmattY/juTCQrKBpZnM+yQX5X6c7X0ODo1cZPbZbOO97xSOjJ5LxJ06t8LEK/tYyEg+5GRlwd22CRJ//Sa2LfhwExZOlVnISj7cXb8XZ2eS7sd6g7pj5NGN8k9ITtC6H/l8LPN/BGM7K5Yykz1XFm/AtSWbiHjTCYMxcDv5XZAH2RkZiP0Zhpig0LwZNEGheferoFDEBoVSLojFFgZW5nkCdCV7mFV2KBCj9c1NS+yz0JkZy3BvA3kNbzd3PHqsnMdCRvKhLLsfD4+ag2f7yZkq3b1mo/38iSxkJB+ivgdiUSWyL7uOiRG8Qryhos5h92Of/+Bz9joR7791KZpPJGewcYUQn0/wculMxA2tLbAs4BGUlJVZyEo+bG43BF9uPyHiww+vR4MhPVnISD58e/AMG1qSM43LV62AhZ9ul9h7MROsatAdQS/fEfEJl/agZtc28k9IgdxQCM4KOI1QKMTS6m3x68sPYtv0BydQqXlDFrKSDy+OnMfBoaQrompbV0y5Rboo2CAnKwu//YMR5ReAX1/9EeUXUCAqlyTnmIFleRjb5/XUNLSxKHAn5wvMJaX4o+v9WLt3R4w9Q/Z45grZGRlws26M5OhYYtuSb/dhWtGehazkww2vbbjkTvZ+bDSyL4buW81CRvIhPTEJ8ywbIjMltVCcr6wMz59PYWBhxlJmsufCvJW4tWonEW81fRT6rCfdz1whKSoabtaNiZeNKhrqWBn2AlqG+uwkVgSp8Yl5InT+n8CQgn+XlBenatpaBSL032J0uQq2rItctO5HAz2sCH1e6lzb4rBv0FS8Pn6JiPde54HWM8jZTFwh/KMfltUge/HrmZvCM+gJp92P27qMwser94j4kL2r0HhUPxYykg8Bz95iTeOy6X5c16wvfjx+RcTHnN4Glz6dWMhIPny++RBbOgwn4lbO1eD29ipnhVehUAhP544Ie/+V2Db55iFUa9eMhazkw5tTV7C3P7mGVsXmDTDjwUkWMlIgLxSCswLO82TPCRwbS/YBq9GlNf67TPYN4wpFuh8/3oJF9UpyyyU1PhFRfv6I9AvAr68BiPILQKRfAGICQyDIzZVbHnSoamrA2N4axvZWMHGw+fN3a5jYW8HI1pL1oltUMlJS4WbVkHDV8fh8LAt4BGNbDrsfF63HtaVkX89m/w3BgG3LWMhIPqTExmO+VUNkp2cUiiurqcIr5Bl0yxmzlJnsOT1tCe5vOkDE282bgB4rSMc7V4gP+wV3O1fC/aiuo40VYc+hoavDUmay5/DI2Xh24AwRL43uR4FAgMRfv/8vSP/ljI4JDEVCeCSrixvyeDwY2VrmteT42xVdyR66piZyEwR29Z4A33M3iHj/bcvQ/L8hcsmBDYLffMCKuuT6C4Y2Fljmz23348Y2g+F39ykRH3FkA+oPJtfp4Ap+959hYyvS/WherSIWfLzFaRFuVYPu+PnqPbGN6+7HdxdvYWePcUTcvmFtzHl2noWM5INQKMSSam0Q+dWf2Dbj4UlUbNaAhazkw/NDZ3Fo+CwiXrVdU0y5eZiFjORDbk4OPOybIj40gtjm5nMV1s7VWchKgTxQCM4KOE9WegbcrBshJSauUJzH42Hxt/swrWDHUmay57rnVlz2IFe4bjyqH4bsXcXoZwkEAsSFhBeIyZFf8wTmSL9Ayr6bbFG7T0dYVK/0f1HZwRo65Yw58yB/fu4K3F5NrmTfesZo9F7nwUJG8oHO/aiqqYEVoc9LpPuRKY6Nd8OTXceJeOfF09B50TT5JyQnogNDsNCxGSHKlQn348ApeH3iMhHvvd4Dracr3I9cIDszE3EhEQVtOm6v2Y2YwBC20wKQt7r8345o08oOMKvsCBMHa8bHwN/7DdY26U3Ey1Www2K/e5x2P6517QP/p6+J+Jgz2+HSuyMLGcmHj9cfYFunEUTcunZ1zH9zhTPPa/8iFAqxvFYHhH/wI7ZNuXUYVds2ZSEr+fD65GXsGzCFiHPd/SjIzcXCii0or+1zX1yAXX1nFrKSD092H8excW5EvGa3NphwcQ8LGcmH7MxMuNs0ppzJu/DzHZhXrcBCVvLh9ppdOD9nBRGvP6QnRhxez0JGCuSBQnBWUCa4vGAdri/fQsSbTRyKAVuXspCRfEiJictzP2ZkFopL437MSs/A7++Bf8Tk/4vLUd+DCJelPFFRVyskIof6fqacptZ+/n/o7jWHhQzlQ1xoBDzsXAnnuLquDlaGPYe6jjZLmcmeQyNm4fnBs0S8x8q5aDd3AgsZyYdIP38srtKaiOuUM4ZX8NNS49CXhJ09x+HdhVtEfMD2ZWg2gbvux5+v32NlvW5E3MjWEsv8H4GvpMRCVvJhY+tB8LvnTcRHHN2I+oO6yz8hOeF3zxsbWw8i4obWFmgxZXheL+k/LumYwBBi4TV5wFdSgrG9NSlGV7KHtrGhRMcUCoVYWb87gl+T7sf/ruxDjc6tpE27xOJ7/iZ29RpPxO0buWCO9zkWMpIPAoEAS6q2RtS3QGLbzEenUKFpfRaykg/PDp7B4RGziXi19s0w+cYhFjKSD7nZ2Xnux7BfxDZ332uwqlWNhazkw/3NB3B66hIiXqdfZ4w+uZWFjORDVnoG5ls1RGpsfKE4j8fDku8PUM7Rlp3E5MC1ZZtxZSEpsDYZMwCDd5OCLFdIS0jEfMuGyExNKxRXUlGBV7A39MqXYykzBbJEITgrKBMkRv6Gu00Tavdj2AtoGeixlJnsoXM/dlkyHZ0WTqX8GaFQiJSYuL9cynl/ovwCEPszjLVpvrpmJn8EZZu89hcFArMNdM0KT/Glcz9qGepjRehzqGpqyDt9ubF3wGS8OXmFiPfZuBCtpo5kISP5EPb+C5bXIl1f+hZm8Ax6AiUVFRaykg9bO43Ap+sPiPjQ/avRaERfFjKSD/5PX2Otax8iblrRHou+3i2T7sexZ3egdq8OLGQkH2jdjy5OmP/6cpl0P069cxRVWjcp+LcgNxexweGI+vb/e3fkt0BE+QWwtj6ClpEBzCo7wLxaBVjUqAKLGpVh4VQJmvrFP3+9PnEJ+waSzyuVWjbC9Hvk8w1XEOTmYmGF5ogJCiW2cd39+HjXMRwf707Ea3ZviwkXdrOQkXwoyv246MtdlK/iyEJW8oHO/dhgaE8MP8Rd92NGcgrmWTZERlJyoThfSQnLAx/D0NqCpcxkzyWPtbjhSYrqLSYPR7/Ni+Wej7xIjo6Fm3UjwhCmoq4Gr5Bn0DExYikz2XNqymI82HKQiHdwn4Ruy8lWIwpKPwrBWUGZ4eDwmXhxiHSE9Fg1D+3mkA4SrkDnftQ1NcbSgEdI+hVNKSynxiXIPVe+sjJMHPIE5HxROd+1bGxnJfYUeTr348Ady9F0/GCm0i5xBL16h1X1uxNxYzsrLP3xkNPuxw2tBuLb/WdEfOSxTag3kHSEcoWvd59iUxvyO23hVBke729wWoRbWa8bgt98ILZNvLofTp1aspCVfKBzPzo0roPZT0mnP1co0v34+DQquNZjISv58OzAaRweSc7QqdahOSZfPyjSMdISEhH1rfAspahvgfj94yfRF1weGNpYwDJfgK5RGZY1KsPE0bZQj+Ky7H68t2k/zkwjZ+Jx3v2Ylp7nfvznWZTH42Hpj4cwcbBhJzE5QOd+dB07AIN2KdyPXOTsLE/cXUe2kWgzayx6rSHbTnCFxF+/4WbTGLnZ2YXialqaWBH2XKQXkqWVo2Pn4+meE0S8y9IZ6LSAbC/DFaIDgrGwQnPSEGZkkGcI0+DurMyyikJwVlBmoHM/GliWx/LAx5x2P25uPxRfbj0m4nxlJQhy5L9on4aeDsyqOP5/EaLKDihfxRHGdlaMjsOPJ6+wrinp7jStZI9FX7jtflzduBcCn70l4uPO7YRzT7IHKlf4cPUetncZRcRt6tTAvFeXOC28Lq/ZAeEfi3c/co1Xxy9h/yDS/Vi5VWNMu3uMhYzkQ1Hux3mvLsG2bk0WspIPj3cexfEJZE/6Wj3aYfx5soc9V8jOyICbTRPKdRGkdT/mZmcjJii0kBgd9S0QkV/95f4CWkVdDeWrVYRlvghdswq+PXiO68vI1mgNhvXC8IPr5JqfPCnL7seL7mtw02sbEW8xZTj6bVos/4TkRHJ0LOZbNSTa4qioq2FF6HOJ29OUBk5OXoSHW8nWIR09JqPrspksZCQfYoPD4GHfFEKBoFBcQ08HK8JeQF1bi6XMZM+BoTPw8gi5QGLP1fPRdja5oCJXiPjyA0urkQti6poawzPYGypqaixkJR92dB+D95fuEPFBu7zgOpZcOFVB6UYhOCsoU2xoOQDfHjwn4qNObEbd/uRq4KWRpKhohH3wQ/gHP4R/+Jr338/fIchmx7mULyr/LSzLa5E+oVCIFXW7IuTtR2LbxGsH4NSxhcxzYIu3Z69jT5//iLhjk7qY9eQMCxnJB4FAgCVVWiPqO+l+nPXkDByb1GUhK/ngvf80jowi3Y/VO7bApGsHWMhIPuRmZ8PdzhUJ4ZHENo/3N2BZowoLWcmHexv34cz0ZUS87oCuGHV8MwsZyYey7H68umQjri7eSMRdxw3EoJ1eMvnMlJi4gpYcBUK0XwBiAkOI9QJkCg/AP1WLkooKvEK8oWfGYffjzOW4u34vEW8zexx6rZ7PQkbyISEiCu62TUj3o7YWVoQ+47T78ciYefDeSy6W13X5LHR0n8RCRvLht/9PLKrYoky6H3f3nQifM9eIeL/Ni9Fi8nC55yMvQnw/wat2ZyJuYGWeZwj7a7YL16AzhA07uBYNh5GL5XKF749eYH3z/kTcrIojFn66zWlDWFlEITgrKFN8uHIX27uOJuI2dWti3suLpcr9mJ2RgV9f/f8Iy34FIjOV80mWKKupFiwO9LewbFrRXuwWGLLg5bGLODB4GhHnuvsxNycHCxybIS44nNg2//Vl2NSpwUJW8uHh9iM4OXEBEXfu2R7jzu1kISP5UJT7cfHXuzCrzN3ejzdXbsfF+auJeMPhvTHswFoWMpIP6UnJmG/ZEBnJKYXifCUlLA96AkMrc5Yykz0X3Vbj5ortRJzr7sek3zFws25Euh811PPcj0YGcsslOzMT0QEhiPoWQIjR6YnJxR+AIXTKGaNqW1dY1KxS4IrWNTUpVc90RRHzMxQLHJqVTffjkOl4efQCEe+5xg1tZ41lISP5EPH5O5ZWb0vEdc1M4PnzKafdj9u7jcaHy3eJONfdj4HP32J1o15E3MTBBku+3ed0O7x1zfvhx6OXRHz0yS2o068LCxnJh8+3HmFL+2FE3LJmFbj7XufMPexfhEIhvFw6I9T3M7Ft0vUDqN6Bu4awsohCcFZQphAIBFhcuRV+/wgits16ehaOjeuwkFXRCIVCxIf9KnAs5wvLUd8C5eos0jExyltt/i9R2ayyA4xsLEr0Q1BOVhbc7VyRGBFFbOO6+/Huhr04O2M5Ea87sBtGHdvEQkbyITM1DfOtGiItPrFQnMfnY5n/IxjbWbGUmey5sngDri0hx7bp+EEYuMOThYzkQ2pcAuZbNURWWnqhuLKqKjyDn3La/XhmxjLc27CPiLedMw49V3HX/RgfHgl32yZE32E1bS2sDHsODT1dljKTPUdGz4X3vlNEvJvnbHRwm8hCRoURCoVIioom2nNEfPqO+NAIueSgY2JU0Bc6rzd0FZSv6ggV9dLpkNzd5z/4nL1OxPttWYIWk0jBgiuE+HyClwvpfjS0tsCygEfcdj+2G4Ivt58Q8eGH1qHBUFKY5ArfHj7HhhYDiLhZFUcs+nyHsyIcAKxq2ANBL3yJ+PiLu1GrG/kCgiu8v3wHO7qNIeJ29Wth7ouL8k9ITgiFQiyt3ha/vvwgtk2/fxyVWjRiISv58OLIeRwcOoOIV2njiqm3j7CQkQJZoRCcFZQ5Hm47jJOTFhJx514dMO7sDhYy+j+ZqWmI+Pz9/67l918Q/sEPaQlJcvl8Hp8PY3trwq1sVtlBrq4pprm5Yhsuuq0h4o1G9MHQ/WScK9C6H5WV4fnzKQwszFjKTPZcmL8Kt1aS53PLaSPRdwN5/nOFpKhouFk3Rk4W++5HeXP8Pw883nGUiHdaOAVdlpAPtVyBzv2oqa8Lr9DnnHY/7h88Da+OXSTivda6o81MsnjlCuGfvmGZUzsirle+HDx/PoWyqioLWYlGWkIiwj9++/9L9PdfEf7xG/GySBbwlZRgWsm+YHFCiz+LFRpYli/xIlbAs7dY05jC/ehom+d+5PAU5HXN+uLH41dEfPSprajTlxSjucLnmw+xpcNwIm5VqyrcfK6V+O+spAiFQnjV7oTQd1+IbZNvHES19s3ln5SceHP6Kvb2I1umVGhWHzMfki8ZuYJAIMCiSi0R7f+T2Dbn2TnYN3SRf1Jy4smeEzg2ljQH1OjSGv9dJlspcYWcrCy42zZB4q/fxLYFH2/BonolFrJSIAsUgrOCMkdJcD8KBALE/gwr6LGc71qO9v9J9C2TB1XauqL3Og+Uc7Qpte6foijK/egV4g1dUxOWMpM9p6cvxf2N+4l4u3kT0GPFXBYykg907kd1HW2sCHsODV0dljKTPYdHzcGz/aeJeHev2Wg/n333o6yI+h6IRZVaEnEdEyN4hXhz8tqWD537sf/WpWg+cSgLGcmH4LcfsaIOOd22LLgfN7Udgq93SPfjiCMbUH9wDxYykhyBQICYwJA/z0NfC166RwcEy+XzNfV1YVW7OmzqOMGmbk3Y1HGCkY1liRL0hEIhVjfsgaCX74htEy7tQc2u5OJTXOHdpdvY2Z1sn2HXwBlzn5PtNrhCke7HBydQqXlDFrKSD3Tux6ptXTHlFnfdj7k5OVjg0AxxIWQ7PDefq7B2rs5CVvLhwdZDODV5ERGv3acTxp4mFw/lClnpGXCzboSUmLhCcR6Ph8Xf7sO0gh1LmcmeG17bcMmdNH41HtUPQ/auYiEjBbKAu6/DFSigQU1LE65jyalaQoEAD7YcZPzz0hOT4P/0NR5uP4Jj492wulFPTNdzwgKHptjZYxyuLNoA33M38PtHEONiM4/Ph1llB7j07YRunrMx/PB6KKmoEPsFPH0DfXNTzgoyWob6aDCMdAblZGXhEYUjkku0nDICPArn05Ndx5GZmsZCRvLBwMIMLn07EfGM5BTKqehcotW0kZTxB1sPE85nLmFa0R5OnVsR8eToWLw6domFjORHq+mjKOP3Nx2A4B/nM5ewcXFChab1iHhcSDjeXbjFQkbyo9V06vP83oZ9rLy4lgY+n49yjrZw7tkeXRZPx/jzu7DM/xE2Jn3CnGfnMHCnJ5r9NwSOTepCXQYvC9MSkvDt/jPcXr0Le/r8Bw87V8wu54ItHYfj8sL1+HDlLqULS57weDza85yqpQ6XqNG5FeVCoEEvfBH4woeFjOQDj8dDS5r7OdfHvE6/ztArT7bC+nL7CSI+f2chI/mgpKyM5pOpW+Tc20CaR7hEw+G9oalPtsLyPXcDscFhLGQkH1Q11NF0wmAiLhQKcX8Tdxf8BvIWO1ahWAj05dELSJLzmlQKZIdCcFZQJmk+aRj4FM6nZ/tPSzytUyAQIOpHEN6cvopLHmuxvetouNk2xnT9Gljr2gcnJy7Ak13HEfjcB5kpqdL+CgRaRgao1LIRWk4biaH7V2P+myvYlPIFi7/ew5hT29DBbSIaDOmJ+oO7Ez+blZaO5wfPMp5TSaLl1BGU8Se7jiP3HxcslzC2s0Kt7mTft7T4RLw5eYWFjORHa5ri/NH2o6VOkBEHC6fKqNy6CRFPjIjC+0t3WMhIftAJMg+3HZZzJvLFvmFt2NarScR//wiidMFyibI65lXbNYNZZQciHuLzCUEvyR6gpRF1HW3YN3RB03GDMGDbMsx6cgYbEj6g11o3mX92SkwcPt94iOvLNmN719GYa14P8ywbYEf3MbjuuRWfbz1CSmy8zPP4G+deHWBAsRDo94cvOC3C8ZWUaJ/hHm3jrtsVAOoP7gFtY0Mi/vHKPU6LcMqqqmhGMzvn0XZuj3mT0f0oF11/c/IK4YLlEuraWmg8htoQ9mTXcRYykh/N/htM2QrrxcGzyJCBZlBS0DYyQIOhPYl4TmYW5UxNBaUTheCsoExiYFkeLn06EvH0xGT4nr9Z7M8LhULEBIXi7ZlrOD93BTa0GoiZhjWxqGIL7O03CTc8t+LDlbuICyanREmLkooKLGpURv3BPdBz9XxMvnkIqyJeYW20D6bfO46+Gxai0Yi+sHFxgirFW0O64tx73ylOi3BmlRzg1Imcbp8UGY1P1x+wkJH8KGrMuYxNnRpwbFKXiEf7/8SPx+Rq2FyirI55pRYNYVGjMhEP9f2MEN9PLGQkH4pyP3rv4/ZDe40urWFsb03Efzx6id8U/SC5Ap/Pp3U/cnnMeTwemk8aBl1TY3Ibn4/e6zzQcuoIVGrREFqG+ox+dkJ4JN5fuoPLHmuxpf0wzDJ2hodDU+zpNxG31+7Gt4fPiTUTmERJWRktaNyPXC/OG47oAw090t3uc/Y60hISKX6CG6hqqKPp+EFEXCgUct4o0nTcQKioqxHxV8cuIis9g4WM5IOmvh4ajexLxHOzs/HyKHdbyABAi8nDKBeif37wLKfNQXpm5VBnANkeLDM1DW9PX2MhI/lBNyvz2f4znNYlyhIKwVlBmaU5zare/woyQqEQcSHh8D1/ExfdVmNT2yF5RYa9K/b0nYjbq3fh2/1nSE9MZjxHPXNTVGvfDG3njMOIoxux4MNNbEr5jAXvb2LEkQ1oO3scqrVrBr3y5UTuNWjhVJlyCvKvLz8444qio/kkarcE10U4h8Z1YFmzChEPfO6DCIregFyCfsy5XZxXa9+MUoT7evsJZW9ArpAvRlHB9TGv3asDdM3IfvTvL97mtCuKr6SEZv8NodzGdRGuwZCelC0m3py8wmlXlIqaGpqMHUjEhQIBcrOz0XfjIky/fwJrY3yxIuwFJl0/gB4r56LuwG4wr16JcoabpMQEhuDt6Ws4P9sLG1oMwHQ9Jyyu2hoHhs7Agy0HEfj8LaPiWOPR/aGsRuGEO3ye0y2T1LW10HB4byKenZGJ1ycus5CR/Gg6YTBla7Rn+89AkJvLQkbyQdvYEHUHdCXiopqDSjNFPbtyWYQztDJHzW5kP/rEX7/x+eYjFjKSHy1E1CW4hlllR8pZmb9/BMH/CblYrILSh0JwVlBmsW9YG2ZVHIn494cv8GjnUVxeuB5bOg7HHNM6cLNpjF29xuPmiu34eucJUuMSGM1FRV0NNnVqoNHIvuizcSGm3z+OtdE+WBX+EpNvHELPVfNRf1B3WDhVZmT1+caj+1PGvfdy+6ZWpY0r5XTUT9cesN6fUZbweDzaMX/G8QeZmt3bUrrcfM5c47Qris/no/GofkRcKBTi2YEzLGQkP+r270I5HfXV0QucdkUpqaigIUWv+tzsbLw4cp6FjORH/SE9KNcn4LorSlVTA/UGkoJMZkoq511RjUb2oXzR/rcgw+PxYGBhhuodWqDd3AkYdWwTFn68hU0pn+Hx7jqGH1qH1jNGo1KLhoz1hhYKhYj86o+XR87j1JTFWN2oF6bpVMPyWh1wZMw8PN51DCE+nyQWh7UM9ODcqwMRT4mJw/vLd6VNv0RDdU8DuP/sqm9uiuodWxDxuJBw+N3zZiEj+UFfr5yUcybyxbSiPRxdSXNQxKdv+PnqnfwTkiONR9Od59wec2sXJ2pz0LO3+PXVn4WM5EcTmjF/yvFre1lBITgrKLPweDzKRcUA4MQED1xfthmfbzxEcnQso59rZGuJGl1bo6PHZIw5vQ2L/e5hU8oXzH99GUP3rUarqSNRqUUjyp5tTFG7VwdqV9Spq5x2RfGVlNBoBOmQEeTm4vkhbk9NrDeoe5l0RamoqaH+kB5EvCy4ohoM60XtijpwhtMLyanraFNe28uCK4pqGi4APOO4K0q3nDFqdG1NxBN//cbnGw/ln5AcoRXhOP4y0djWCpVaNSbioriiVNTUYFmzKhoM7YXe6zww/f4JrI9/j8V+9zDiyAa0nDoC9o1cKBczkgRBbi7C3n+F996TOD7eHV4unTFNtzpW1u+GE5MW4tnBM4j4/F1ktyrdmHP9BbKFU2XKXvUhPp8Q+u4zCxnJj8ajqK/tXD/P7RvWpuxV//3hC0QHBLOQkfygH3Nuz9yp2rYpDCzLE/GPV+8jMZLj5qAyej+nNQedvY70xCT5J6SAURSCs4IyQ3J0LD7ffIjry7dgR4+xmG/VENeWbJLZ56lpa8G+kQuajh+EAduXYdbTs9iQ8AGeQU/x36W96LpsJlz6dIJZJQfKflWypCy7ohqOoHZFcb1XlJaBHpx7tifiKTFx+HDlHgsZyQ/6BzhuP7TnOfuaE/G4YO67ohqVUUGG1hX1+Tv3XVFlVJCxdnGi7FteFlxRTI45n8+HWSUH1B/cA303LsIc73PYmPQJHu9vYMjeVWg6fhCsXZwonfSSkJOZhZ+v3uPRtsM4PGI2llZvi+l6TljbtC/OzlyO1ycu4bf/T8rnkorNG8DYzoqIf7n1GHGhEYzkV1Ipq/dzp04tKfuWv794R+6LV8oTHo9Hez/35njLpNq9O0JdR5uIvz5xmfPmIKr2OYLcXLw4zO3ZWnTmoJdlwBxUb3B3Ip6dnsF5c1BZQCE4K+AkqfGJ+Hr3KW6u3I5dvSfAzbYxZpdzwZYOw3F5wTq8v3gb8WG/GPs8TQM9VGnjinbzJmDs2R1YFvAYGxI/Yo73OQzc4YlmE4bAsXEdaOjpMvaZ0lJW36JK44oq7ZTVqYm0rqi3H7nviiqjUxMdGrnAtJI9Ef/24LnCFcVRyrIrqgndtZ3j9/NaNK6ot2eYcUUpKSvDskYVNB7VDwN3eMLtzRVsTP6Eea8uof+2ZWg0og/Mq1einEkiCZmpafB/8gp31+/FvoFTsbBCc8wxrYMd3cfg9ppdCHj2FtmZmeDz+ZQinFAoxHOOt0yq078LVDU1iHhZaJlUfyjZMiknK4vzC8k1GNqTsu8611smqWlpoi6NOcjnDLfNQWV1tpaWoT6lOSg5OrbMmoMUbTVKPwrBWUGpJz0xCd8ePMPtNbuwp99ELHBshpmGNbGpzWBcnL8avuduIC6YuUWy1HV1UKlFQ7SZPQ6jT23FsoDHWBf7DlNvH0GPFXNRu1cHmNhbg89QASIrFL2iSLhenCtcUSRcF+HKsiuK9gVLWXBFUbRMKhOuqBF9iLjCFcVhV5S6utxdUSpqarCtWxPN/xuCofvXYOHHW9iY9AmznpxBnw0LUHdgN5SrYMfY5yVHx+L9pTs4P2cF1jTuhel6TljTpDcSwiMBqtlaHG+ZpKGrQ9kyKS0hCe8u3GIhI/lB+zJx7ylOi3C65YxRk6plUkQUvtx6zEJG8qOsPrsa21mhMoU5KOp7IPyfvmYhI/lRVg1hljWqwKYutTko7P0XFjJSwBQlWxFToOAfMlPT8OPJK9zdsBf7Bk3FokotMV2/Bja0HIjzc1bg7elrjLrXVLU0UaFpPbSeMRojj23Ckm/3sT7+PabfP4Feq+ejTt/OMLG3pmzRUNJR9IrSJ+JMuaJKKnw+n9I1IBQK8fwgt3tY07qijl1EdobCFcVFyrQrakAXIl4mXFEUgjNQNlxRtXq0I+LJ0bH4ePU+CxnJj5IgyKhpacKxSV20mjYKo45twtLvD7A+/j2m3T2GHivnwrlXBxhaWzDyWTmZWQjwfoPHO44CFN/p2J9hnG+ZVFafXc0qOcCxSV0iHvHpG36+fs9CRvKDrq3GU47P1rKpUwMWTmTLpADvN4j047Y5qKy2yarYoiGtOYjJ2dklkbI6Q4/rKARnBSUWoVCImJ+heH3iEk5OXgQvl86YrueEdU374uyM5Xh9/BKivgfKNIeOHpMw89Fp9F7ngXoDu8G0on2Jdy6LQ5l1RZXhXlENh/emXkhu/2nOu6Jq9+lIxNPiE7nvihpJLcKVBVdUjS6tiLjCFcVdFK4oEq4X55Y1qsCmTg0iHvzmA6uuKE19PVRu1Rjt5k7AuLM74BXsjdVRbzDx2gF0WTIdTp1bUc4+YYLtXUYRbTi4hEPjOtQtk+4/Q3RgCAsZyY9GNIIM19cnqNauKfQtzIj4x6v3kRQVzUJG8iGvhzWNCLef2+1zavVoB00DPSLuUwbMQVSztYQCAefNQXX7d6FcrPfl0QucNgdxHe4oZwpKPdmZmQh8/hZ31u3Brt4TMM+iPjzsXLFv4FQ83HoIIT6fRF7BuziU1VRhV78Wmk0ciqEH1mDS9YOU+z0/cJbTgozCFUXCdUHGwLI8qrVvRsRjf4bh2/1nLGQkP+j6nHK9P5hZZccy64qi7wmncEVxlbLqiqrUshGMbC2J+Oebj7jviqJtk1Wy7ue65Yzh1LEFOi2ciolX9mHVr9dYEfoc487vRHu3iajSxpVSYBGXnMwsyjYcF+atxIcrd0t9OyUej0ff45XjLZNc+nSiWUjuCjJT01jISD7QLiSXk8P5lkn1B/eAsippDnpx6Bxys7NZyEg+qKiro/7gHkQ8Ky0dr09eYSEj+UFnDvLed4rb5iA9XbiUUXMQl1EIzgpYI/HXb/iev4mzszyxulFPTNd1wupGvXBulid8z91A4i9mFvlRUlGBTZ0acB03EIP3rIS77zVsSv6MuS8uYsDWpWg0vA+qd2heZl1RZXWxIbpeUWy7ouRBWXXCKVxRJFx3RVUtw64oWhFO4YriJLQtkxSuKBYyEg0ejwcDy/Jw7tEe3T1nY+rtI1gX+w7L/B9h1InNaDF5OKxrVwdfSUmqz8lvw3Fr1U5s7zoas4ydsbhKKxwZPRfPDpxG1PfAUmeuKKplElPmlJIIXcukjOQU+Jy9zkJG8oPuJYP3Pm7P1tI2MkCtHm2JePLvGHy4yvWF5MpmiwVDK3NUbdeUiMf+DMP3B89ZyEh+0K6/wvEx5zIKwVmBXMjNyUGIzyc82HoI+wZNhbtdE8w1r4ddvcbj7ro9CHzuw0gLB76yMqxqVUXj0f0xcKcn5v9ZUXz+68sYtNMLTUb3h1WtalBSUSF+tqy6ouh6RZUJV1QZfZBx6twSOiZGRPzdhVtIjUuQf0JyoihX1PMD3BbhyqorSklZucy6ouoN6q5wRf1FmXFFUS0kx/WWSUW5oi7eZiEjyeHxeDBxsEHd/l3Rb/NiuL29ivUJHzDt7jF0WTIdVdu6Ul7LxSXSLwDe+07h8Mg5WFSpJeaY1slrw7F2NwKfl/w2HHpm5eDUuSURTwiPxGeOt0yi62fszfHZWib21qjUshERj/oWiADvNyxkJD/oxvwZx+sVy5pVYe3iRMSDX79H+Ec/FjKSH2XVHOTYpC5MK5LmIL973ogJCmUhIwXSIpXgnJubiw8fPmDfvn2YMGEC6tSpA1VVVfB4PPB4PDRv3pyhNBWUNlJi4/Hh6j1cdF+D9S36Y7qeE7xcOuPU5EV4ffwSYn+GSf0ZPD4fFk6V0WhEH/TfuhRzX1zAxqRPcPe9jiF7VqLpuEGwcXGCipqaSMcry64oRa+owpR0V5S0KKuqosEwioXkMrPw6thF+SckR+hcUc8OnFG4ojiKwhVVGIUrirsYWpmjKkXLpJigUHx/+IKFjOQHl11R6tpaqNyqMTotnIopt45gffx7eLy7jv7blqHuwG6Ua3GIS3J0bF4bjtleWN0orw3HWtc+JboNB50gw/WZO7Z1a8K8eiUi7v/0NSK/BbCQkfwoqyJc5VaNYWhDLjz66cZDxIdHspCR/GhC2zKJ22Neo0srSnOQ7/mbZcAcRLMANMfNQVxFYsH54sWL0NXVRc2aNTF69Gjs3LkTb9++RTaHXTMKqBEIBIj4/B1P9pzAoRGzsKhyS8wydsb2LqNw02sbvj98gay0dKk/R698OTj36oDe6zww6+lZbEz6hAUfbmLo/jVoPnEo7Oo7Q5VCPBQVFXV11BvUnYgrXFEKVxQXoRNknu49yWkRTuGKIikTrqgWDYm4whXFXRSuKBJvjvctp3VF3X3KOVcUX0kJljWrovl/QzDq2CYM3LGc8c/IycyC/9PX1G04Dp5BbLD0xhFpqda+GfTKlyPi7y/f5X7LJLo2WRzvYV2rRzto6usS8benryE9KZmFjOQDn89H47LaMmlAV2pz0JELJX4mhjQoq6qi/tCeRLxMmIOG9aJsJfWc4+YgriKx4JyQkIC0NO5Ow1VAT3pSMr7ceYJrSzdhc/uhmGlYE0urt8WxsfPx/OBZRH0LlPoz+EpKsHZxQovJwzHq+CZ4/nyKleEvMe7sDrSeMRqOjetATUuTgd+mMGXaFUXRK6pMuKLK6OKBZpUdYd/IhYiHf/BDyNuPLGQkPxSuqMKUBVcUrdjO8TEvy66ostomq0hXVHwiCxnJh7LsiqrdpxPUtLWIuIqmBjp4TGK+DceI2XC3bQIPh6Y4MnouXh2/xNi6K+JQZMukIxfkno88qT+4B2V7QK63TFLVUEddGnPQm1NX5Z+QHCnL5qDavUlzUGpcAt5z3hxE/+zKdXNQ9U4tiHh82C98uc1tcxAXkbqHs6mpKTp37owlS5bg+vXrmDp1KhN5KSghCIVC/Pb/iReHz+HYeDcsq9keM/RrYHPbIbiyaAO+3HqM9ETp3yhrGRnAqXMrdPeajRkPT2JD4ke4vbmCfpsXo+6AbjCysaS8yTKNVa1qtK6osA9fZf75bEI/HZXbxbmjaz2Uq2BHxLnoivqXsjo1sUhX1O8YFjKSD2XZFeXcs73CFfUXQoEALw6dYyEj+VGmXVFDyB7WClcUd11R6tpaqNOfbJmUnZYO0wp2BW043H2vof/Wpag7oCsMrckXUeISExgC732nsH/QVMw1r4fFVVrhxMQFeHv2OlJi4qQ+vijQtUx6xnFBRtvYkLJlUlJUDD5ef8BCRvKDrsUC100DhtYWqNLWlYjHBIbgxyOum4PKpiGsfBVH2DesTcTD3n9FiM8nFjKSH0043CarrCGx4Ny+fXsEBwcjMjISV65cwcKFC9GhQwfo6+szmJ4CeZOVnoEfj1/i1qod2N5tNOaY1sHCCs1xcNhMPNl1HOEf/KR+gOPxeDCvXgmuYwdg6IE1WPLtPtZG+2DilX1oP38iKjZrIBP3sqgoXFGF8T13g/OuKFoRjuOuKJe+1K6oV8cvM9IGp6SipKxM2be8LCwkV39wD8qF5J4fLMOuqDLaMsl73ylOu6I09fXKrCuKvn1O2WyZVBZcUXQi3NM/LZP4SkqwqlUNzScOxajjm+EV7I0Voc8x+uQWtJg8HNa1q4PHl86HFOkXgEfbj2BPn/8wy6Q2ltVsj9PTl+LDlbsyWwulnKMtKjZvQJlLwLO3MvnMkgJ9+xxu1ytWtarBunZ1Ih708h3CP31jISP5QWcOesrxMa/QtD5MHG2J+Nc7TxDzk+PmIDrhleNtsqp1aE5tDrp0h9PmIC4i8ZOFmZkZrK2tmcxFwR+EQiGysrKQkZGBjIwMZGVlyaxASE9KxuebD3HRbTXWNOmN6XpOWNesHy7MW4UPl+8iOTpW6s9Q19FGlTau6LRoKqbcOoz18e+x8OMtDNq1Ao2G94FpRfuCYjg3NxeZmZlIT09HZmYmcllwpNQd0BUq6uRCg6+OXpSZK0qeY04HW66okjDmbLii/h3z7OxsuY85nSsqIylZpgvJ5eTksD7mVK5PQLauKIFAgKysLKSnp7M25trGhqjZvQ0RT/4dg4/X7svsc/8dczaETjZeJpaEMWfLFZWTk4OMjAykp6cjKyurhI257Bwy/455Tk6OzD6LDvOqFVhxRWVnZ5eAMZd/m6y/xzwzM5OVMbetVwvm1SoScf8nrxD1nbrVnYFledTp1wX9Ni+G29ur2JD4EdPuHkOXJdNRpY30bTjCP/jh/sb92N51NGYY1sKKet1wYd5KfL71CJmpzLVlZKNNlkAgKHRPY2PMK7duQulU/3T9ARIiomTymUKhkDjP2XiJxUabrH/rFTbGvGbX1tA2NiTisjQH/T3mbNWoRZmDnsvQHFQSalQ2zEElQZdQUlamXOBekJODlzJsmVQSxpxr8IQMf3sWL16MJUuWAACaNWuGhw8fMnl4TpOZmYmEhATEx8cTNzElJSUYGBhAX18f6uqSL4yXEhMH/6ev8ePxK/x4/Aqhvp8hZLggKFfBDvaNasO+YW04NHJB+aoVKMW8fAQCAZKSkhAfH4/U1FRiu5aWFgwMDKCrqwu+lO4LUTkwZDpeHiUvZmPObIcLhWNKUjIyMgrG/N8LmrKycsGYq6mRArgsiPjyA0urkWKUtYsT3N4w5wLMzc0tGHOqXvDa2towMDCAjo6O3MZ8e7fR+HD5LhGfcvsIqrYhxRpJEAqFhcb832JcRUUF+vr6ch3zwBc+WN2QXJSiUouGmH7/BGOfk5ubi8TERMTHxyM9nXxA0tHRgYGBAbS1teU25utb9KfsUT73xQXY1Xdm5DOEQiHS09ORkJCAhIQEyjHPP89VKZzHsuDL7cfY3G4oEa/ZrQ0mXNzD2Ofk5OQgMTERCQkJxJjzeLxCYy6PlkkA4Fm7E0J9PxPxRV/uonwVR0Y+QygUIi0tDQkJCUhMTCTGXFVVtWDMVSh6cMqCt2euYU/fiUS8wdCeGH5oPWOfkz/m8fHxyMjIKLSNx+NBV1cXBgYG0NLSksuYC4VCLKzYAtH+P4lcvEKewcCyPGOfk5qaWjDm/z5aq6mpFYy5srIyI59ZHN77TuHI6LlEvPmkYei/ZQljn5OdnV0w5pn/vJTn8XjQ09ODgYEBNDU15TLmuTk5cLNuRPQUVlJRwerI19Ay1Gfkc4RCIVJSUpCQkICkpCRizNXV1WFgYAA9PT25jfndDXtxdga5gGB7t4no7jlb7OMJcnMR/tEPAd5vEeD9BgHebxEXEs5EqlBSUYFd/Vqo2KIhKrVsCPsGzlCRsL7JSs/A3PJ1iRZ/alqaWPP7LVQ1NZhIGUKhEMnJyQVj/i8aGhoFY65URN3DJFcWb8C1JZuIeI9V89BuznjGPicrK6vg2TX7n9lQfD4f+vr6MDAwgLq6ulzO87SERMwtXw/ZGYWvOdrGhlgV8ZKyv7UkCAQCpKSkID4+HsnJZPstTU3NghpVXmN+ZsYy3Nuwj4gP3LEcTccPZuxzitMl8usVDQ1mzq/iSPz1G/OtGhJGIEMbC3gGPWXseycQCJCcnIz4+HikpKQQ29nQJY6Mnkv5MmXksU2oN7AbY5+TX6MmJCQQY66srFww5tJoUeIQ9SMIiyqSvZzNq1fCwo+3GPuc4rQoNnQJLqEQnEsA2dnZCA0NFXkRRg0NDVhaWookSCVEROHH45f48fgV/B+/QsTn79KmWwgVDXXY1q0B+0YucGjkArsGzpRtGagQCoWIjY1FVFSUSG/NeDweTE1NYWRkJPOHme+PXmB9c3IKS+0+nTD29Dapj5+VlYXQ0FBK4Y0KTU1NWFlZyUWcWN2oJwKf+xDxZf6PYOJgI9WxhUIhoqOjER0dLdKY8/l8mJmZwdCQfJvPNB+u3MX2rqOJeOPR/TFkz0qpj5+RkYHQ0FCiIKdDW1sblpaWMi9UhUIhljm1I64NPD4fK8NfQM+MnM4k7vF///6NmJgYkcfc3NxcLu2ZXh67iAODpxHx1jNGo/c6D6mPn56ejtDQUGRlZYm0v46ODiwsLGQ+5gKBAB72rogLLiwcKKuqYk30W2jo6kh9/KioKMTGijZDRklJCRYWFtDVJXssM83D7UdwcuICIt558TR0XjRN6uOnpaUhNDSUKMjp0NPTg7m5ucwL1ezMTMy3bEj0VVXX1cGa32+gIuULLoFAgF+/fiE+Pl6k/ZWVlWFhYQEdHem+a6Jwc+V2XJy/moj32bAAraaNkvr4KSkpCAsLE9ntpq+vD3Nzc5kXLRkpqZhbvh4yUwoXT7pmJlgZ9qJII4Ao5Obm4tevX0hISBBpfxUVFVhaWkJLi3RqMc1Ft9W4uWI7ER+ybzXt7BZxSE5ORlhYmMjOJ0NDQ5iZmcl8zFNi4jDXvD7RHsnE0RZLvz+Q+tk5NzcXX175wO/+M4S/+oCwVx+QEhkt1THzUVFXg30jF1Rq2QiVWjSEbd0aYomGJyYuwKPtR4g4U0aRxMREREREiDzmxsbGMDU1lXm9EhscBg87V+L5iimjSE5ODsLCwiiFNyrU1NRgZWUlF0GKzhzElFEkPj4ev379EmmmBo/Hg4mJCUxMTGQ+5hGfv2NpdbJ/N1NGkezsbISFhVEKb1Soq6vDyspKLkYZOnMQE0YRoVCIuLg4REVFiTzm8tIl6MxBTBlFxNUlNDQ0YGVlJRejzLrm/fDj0UsivvDzHZhXrSDVsYVCIWJiYvD792+Ra1RTU1MYGhrKzSjDBRQSPcukpaXB399fZLEZyBMxAgICiBuBUChEdGAInh08g8MjZ2OBYzPMs6iPfQOm4PGOo4yIzYbWFqjTrzP6blqE+a8vY2PiR8x8dBo9VsxFjS6txRKbw8LCEBkZKfIUDaFQiMjISISFhcl8WkeFpvVhZGtJxD9evSf1NMDU1FT4+/uLfFEH8r4nP378EOt7IilU01eAPIecNAgEAoSEhIh8Uc//mYiICISHh8t8zKt1aE45Te3d+ZtS97ZNTk5GQECAyGIzkCdi/Pjxg3AJMg2Px6Mcc6FAAN/z0r09FggE+Pnzp8gvGPJ/Rtxrg6Q492xPOU3t7ZnrUk8FT0xMRGBgoMhiMyDZ90QS+Hw+GgwhH1xzsrIoH+TFITc3F0FBQSKLzfk/k39tkDV1B3SlFDHenpbu+gbkFaeBgYEii81A3vckICBArO+JJKioqaHugK5EPCMpGV9vP5Hq2Dk5OQgMDBRZbM7/meDgYMTEyL4PX32K7zrAzJjHxsbi58+fYk2tTkhIQEBAgMynY6tra8G5V3sinhQZDf+nr6U6dnZ2NgICAkQWm/N/JigoCHFxsl9MjvY55vRVqY8dHR2N4OBgsabZxsXFISgoSOZTc7WNDSl7WEf7/0ToO3JmhzhkZWXB398fPB0NVOnWCq09p2PY7f0YfG03WiyahAodmkJDCvd4dkYmvt1/hssea7GmcS/MMKiJLR2G4faaXQh++7HY9mb0Yy7deS4UChEVFYXQ0FCxxi8mJkYuY25kY4mKLRoS8ZC3HxEdECzVsTMyMuDv7y+y2AzkuWIDAgIoHeBMI8sxz689RH0WzDdXBAcHy7yVkHm1irCpU4OIf3/0EomR0j1Hpaenw9/fX2SxGZDseyIpDYf1powzMebh4eEiv2DI/5nIyEiEhobKvF6xq+8M04r2RPzzjUdSL3ydr0WJo0vkf0/koUs0pDnPfaTUJYRCIUJDQ0U2PgL/N1fIQ5fgEgrBmUXS09Px8+dPiR5G8oWchJhYPN55FPsGTsF8q4ZY4NAUh0fMxrMDZ6R+0Mif7tZq+iiMOb0NK0KfwyvYG6NPbkXLKSNgU0c890E++WJzYqJkvaYSExNlLjrzeDzU7tOJiGenZ0jV5zQtLQ0/f/6U6GEkf8zFuSFIgnPP9pQLx0hzMxcKhQgJCaGcjiYK8fHxiIiIkPjzRUFJWZmyOE+NS4Df/WcSHzclJQXBwcESfV/zxTtZC5C1+1C7f6QpzvO/r+I8tP5NTEwMoqJk04MwH1UNddTo0oqIx4dG4OdLX4mPm5SUJPEDaL4oI2sB0qUveX0DpDvPpb1G/f79W+ais5aBHqq0aULEf335IdVL2YSEBISHSzbVPCsrC0FBQWIJ1ZIgizHPv0ZJ+mIsMjJSrJcTkmBgYQbHJnWJeOBzH6naA8TFxeHXr18S/WxmZiYCAwNlLjq79O1MGZdmzPNfMEh6jYqIiBDr5YQkmFVygEWNykTc7643UmIl/2xp7kvp6elyESBlcZ5nZ2dTvkzj8XjQtzZHtd7t0W71HIx8eAQDL25H0/njYN+6EdR0Je8BnZmahs83H+H8nBVYUacLZhk7Y0f3Mbi/+QDCP/oRz9G2dWvC0IbsZyytUeT379+IjpbMxS3NM7840I65FIJMZmYmgoKCJLpGSfvMLyoVmzeQiVHk169fEr8Yk+aZXxyoxlxao0hGRobE1yihUIjg4GCJn/lFpVqH5lDT0iTi0hhF8sVmcV6g/o00z/yiwuPxKMdcWqNIWloagoKCJNYlgoKCZK5L1OzejnGjSL7YLOmLsfxnfoXoLBoKwZlFxHmLRoVQKERkVBROT1uK1ycuIyE8Uqp81HW0Ua1Dc3RfMQeznpzBxqSPmPviIvqsXwCXPp0Y63WYmpoqsdicT2JiosxvanUYfmjPf2MuzcUp/82aLNExMUKllo2IeKjvZ0T9CJLomElJSVK/+abr98wkTBfn+WMuDbm5uYiMlO7cLg5jWyvY1qtJxP0fvyL6YIpKYmKi1OMVExMjc4c3XaH2RsIxz3flS0NOTo7MxXbz6pVgVtmBiH+59RhpCZJdn+Pi4qR+8Pz9+zeLYrtkL1iYGPPs7GyJRQ1RsW/kAj1zUyL+/tIdZEt4nsXGxkr9QiwyMlIOwiv1mPucvSHR8XJycqS+F2dlZclcbK/SujE09clWNT5nb0i8IG50dLTUL0d+/folB+GVvJ8LcnPx7oJkgkx2drbU9+KMjAyZO7ydOreiXPj67elrEj9/RkVFiXSO8ng8GDpYo8bALui4wQ2jnxxHv9Ob0HjWKNg2qyfVIoRpCUl4f+kOTk9dgmU12mOuWV3s7jsRj3ceLVgUkWrMpTGKZGZmSn1dzl/DQZbIwigSFRUl9Tkqbc1THLIwiqSnp0t9jjJR5xaHLIwiTOgSsh5zVQ111OjamohLYxTJX3NDGpioc4uD6ZeJQqEQv379kmq8mKhzi0MWRpHk5GSpZ2EkJCTIxeHNBRSCM0ukpaUx8iXNEQpgQyEUiYKWkQFq9WiHPhsWwO3tVayPf4/J1w+i/bz/4NikrsSLdxQHU0W1rItzaxcnGNtZEfFP1+4jI0V8sTs1NZUR8Yyp705R0BbnZ66Lfaz8vs1MIOsxr9C0HnTKTcx9KQABAABJREFUGRPxdxduIUcCESw5OZkR8Sw5OVnmLmeqQk0oFMLnnPiCDJNjLusp99XaN6Nsq+EjoVsiMTGREfEsMTFRpsIr026J/D5oTCBrEa5mtza0bglJHrypFgCVBKqFeZiEz+fDhaJIzUhOwedbj8U+nkAgYGTM89dzkCXOvTpQ9tuTtDiPi4tjpKiOjY2VqfCqrKqKWj3aEfHk3zH48ZjsiVgcubm5jAimAoFA5i5nqu86IHlxztR3NCYmRqaOV3VtLVTvRLbViAkMQYjPJ7GPl52dLbEYw+PzYVLFAc7DeqDz1oVw97+PuS8uoLvXbFRu3QQqGpLXGcnRsfA5cw3HJ3hgUaWWmGfZAL++UIsPko45U/c0cdqKSQLTRpHMzExGWmJkZ2fLvLUG00YRJusVWY4500aR9PR0RoxcmZmZrAmvkhpFmBpzWc/QY9ookpaWxog7manvTlEwbRQpLboEV1AIzizBpIhi5lxVpP30LcxQd0BXDNyxHAs/38HaaB+MP78LraaNgnXt6lIvICMKTF6UUlNTZTqNg06Qyc7IxMer98Q+HpMXJVmLcM492lF+HyS5sDMltAOyF17p3BJp8Ynwu+ct1rHy+7kxhaxvarV7d6CMS/LQzpTQDuS9QZZlqwEVdXXU7NaG/NzwSMrFM4uCSaEdkL3wymShRrWitaTExcXJVHjV1NdD1XZNiXikXwAiPn0T61hMjrk8hFcmx5wpoR2QvfCqb24KR1eyrUbQy3eI+Rkq1rGYEtrzjyVz4ZVBV1RsbCxjIkp0dLRMhVfTivawqkU+H3+7/wzJ0eKdZ7m5uYydm7m5uTJ3vDJZnDN5TYqLj4dtvVpoP38ipt05ivXx7zHz0Sl0XjwNFZrWk6hNXz6JEVH4dO0B5baPV++JbRTJzs5m7NyUj/DKnFGEyTEXZ90WSWDSKJKVlcXYOMlHeGXOKMJkXSnreoVJo0hGRgZj45Seni5TQxjTRhEmx0nWY86kUYRJ/SglJUXmM3G5gEJwZgkm+1qZ1KxEHXe0RaORfTHs4FosD3yCFaHPMer4ZjQdPxjmVSuwsrom0zdfNm7mgPiFmlAoZPTtn6z7omkbG6JyK9ItEfb+a8HURVEpfWPOTHEuEAgYvQnJ+vc2srGEXQNyheeAp6+RECFeewemcy0tb85zcnIYdSXL+jw3r1YR5SlWeP5y+4nYbgkmx1woFLI2i0Pc8zwzM5NRcVzWY27XwJmyPdaHy3eRlS7e9YrJMWf6ekkF3f1c3LYaGRkZjAqlsr62V27VGJoGekTc99xN5Ir53WUy19zcXDnM3CHPc0naaqSlpTEqmsl6zJ06taR0D0tSnDN5TcrOzi50j1RRU0OFpvXRedE0zHx0GhsSPmDqnaNoP/8/2DVwZswIk5OZhc1th+D5obMiL6rG9D1I1mPOpFGEyTHPzMyU6ctEJo0ipa1eYdoowhRpaWkyfZnIpFGktI05k7oEk7mmpKTI9MUSk0aR0jbmXEAhOLOAUChk9KQ0q1EJymqqMK9eCc3+G4LRJ7dgZfhLLPvxEEP3rUbDYb1hbGfFisD8L7m5uYzmIeu+j1bO1WDiYEPEP994iIxk0S8wTD9sMf0dooL2piamW4Lp313WfR8ruNaDrinplnh/8bZYbonS9nsDNIuQCIXwFdMtwXSusj7Pq7Z1hbquDhH3OXtDrIdmpvNka8xzs7Px/tIdsY5T2r7vNbu2hrKqKhF/e0Y8Qaa0/d58Pp+y92NmSiq+3Hok1rGY/r7L+jx37tWe8vlD3JXOS9v1TUlFBc49SUEmOToWPx6/EutYpe0aR7X4M8D+c4ysx1xNSxNOnckFcWN/hiHk7UexjiXPa5yqpgaqtG6C7l5zMPf5BayLe4eJV/ej9cwxsHKuJlX9EPjcB4eGz8Lc8vXgWbsTLrqtxo/HL2kXlyttY86kUaS03deYcneXtt+bKaOIUChkXCBmb8y5fT9nyigiixcCbCyUCbB/P5dHrVbaUQjOHEBZXQ0rf73Cwo+3MGDbMtTp1wX6FAsDlQR4PB6jFyQ+xSIZTMJUW42SIPaLS83ubcFXVibi4rolmP7dZf3/kq+kBOfepCCTlpCEr3dFd0uUtt8bAGpT/N6A+G/Omc5V1ue5iro6alIsQpIYEYXAZ29FPk6pHHM6QYblMZf1766hp4uq7Um3RNS3QIR/9BP5OKXt9waYc3eXtvNcz6wcKjSrT8R/vnovVluN0jjmTC0wVdp+93KOtrByrkbExW2rUdq+6wB9D2tx+5yyOeYaujpw6tQSvde6w93nGtbG+GLc+Z1oPmkYzKtVlDiHUN/PuLliO9Y164eZxrWxq9d4PNlzAnGh/1/8qlSOOUNGkdJ2ntMZRcRtq1Hafm8AcKF4hhPXKMLj8Urd7161rSvlIqRvxWyrURrPc6r7ubhGEVmMj6zHnNYocvqqWNpSafuucwGF4MwCPB4PSgz2S+bxeNDSJ6dLlkSUKQTMknQ8KphYnIDP5zN6QVJSUpL5BU7byABVWjcm4uEf/BDp5y/ycUrjmNdhoMUCk+c4IJ/f29DKHPYNaxNx/6evER8eKfJxSuOYMyHClcbf27xqBcrC/cvtJ0iNF90toSJF700q5DPm0k9NZDpPpv8/UmFX3xmG1hZEXNy2GqVzzKV3wpXGMa/cshG0DPWJuLhtNbgy5kKBAL7nb4p8jNJ4ba/esQVUNTWIuLjFeUn6vmsZ6sO5R3v037IECz/dxqpfrzDqxGY0GTMAhjbkNU0UMpKS4Xv+Jo6NnQ8360ZYUq0Nzs7yROCT18jNYm79CHmMOVNGkdL2fWfKKFIar29MtdVgWpdgugb6F7q2GuIaRUrbdx2gfskAiDfmfD6fUXGcaZ2DCqaMIqXxPC/tKARnljA0NGTsWML4FAhkPIWDKfT09Bi7IAlzBciIlO0CSwBgWbMqylWwI+KfbzxEepJoPa94PB6jY54bmwQBS9PtAfHcEvr6+gxlAwhycpHxO46x49Hh0LgO9MqXI+LvL95Gtog9J/l8PqO/e050gkx7ouVDK8icFX3MDQwMmEoHuRlZyIwVf/VlcalC21bjusjnmrKyMnR0yGNISvbvBJlPUQNo+pzm5OD9RdH7nDL5Xc9NTUd2oux7otXo0grKalRuCdHbaqiqqkJLi1y8RlKyIplblI0OHo9H3VYjNQ2fbzwU+ThMnuc5yWnITpZtr3YAcO7ZHjyKIkucQk1NTQ3q6mR/XEnJlMNzjJKKCmpRtNVIiYnD94cvRD4Ok88xOYkpyBWzb7gkMFGca2pqQpXCWSUpmb9kP+Z5bTVaEvG44HD8fP1e5OMw+uyakIKcDOb6duuZlUPd/l0xePcKeAY9xeKvd9FnwwLKF+ei8uvLD9xdtwd7uo3Fnib9cWXiEnw4cRWJob+kyjXjl2wX+waYM4owOeaChFTkZDK3tgUdTBhFdHR0GBPhhEKhXGpUQ2sLRowijI55fAptqxomYcIowqQuIcjNRbocznPzahUZMYowOeZMHqsomDCK6OkxZ9Lk8XiMHo+rKARnljAyMmLkApeVkoZjA6dhVYMeCBezaTobKCsrM1ak+p25iRW1O+PWqh0yFV9pV4XNzMKHK6K31TAyMmIkn4yEJBzsOQFrXfuI3ZdNXGp2b0e7KqyoqKqqMiZGfTp0EV7OnfBgy0GZiq98JSXK9hLpicn4euepyMcxNian+ElC6u847O44EpvaDEZscBgjx6SDibYaampqjAmvPjtPwrNmB3jvOyVTIU5FTQ21ulO4JX79RoD3G5GPY2Jiwkg+yWFR2N5qELZ1Hin2oo3iwkRbDU1NTWhqajKSz4sNh7DMqR1eHb8k0zHX0NVBtQ7NifjvH0EIe/9F5OMwNeYJgaHY1LQ/9vSdKNZ0f0lgYqFMLS0tRoRXoVCIx547sMypPd6J8ZJDEnRNTVCxeQMiHvzmA6IDQ0Q6Bo/HY2zMYz77Y32Dnjg4bIbYC3WKCxPFuY6ODiPCq1AoxF33DVhavR0+i9k7XFxMHGxg7eJExL8/fIGkqGiRjsHkmEe++Yw19brh2Hg3sdYCkQSminMmHFyC3Fxcm+6J5TXa4/sj0V9yiAqPx4NZZUe0mjYKs73PUa6/Ii456ZkIfvwaj7124kjHMTjSaQweee3Ez8evkS3Gy5KwJ2+xuk5XnJmxTOzFWcWFCaOIgYEBI8JrblY2zo/zgKdzRwS99JX6eEXBlFGEqef2n7e8scqlCy55rBWrrYckMGEUYUqXyE7LwMkhM7GyXjexnqMkgQmjiJKSEmNiqf/Fe1jp0gXXPbeKvSCvuDBhFGFKl2D6WEXBhFFERUWFMS3KyMhI5m5+LqAQnFmCKeH1zfbjiA/9hRCfT1jh0kXm4isTMHEzj/8Zjsfr9iEnKwsX5q2SufjKRHGuqqrKyFuwlxsOIiU6DoHPfbC8VkeZiq9aBnqo0qYJEY/49A0RX36IfBwmxjzmWyCebjmM7PQMnJqyGJtaDxKr76a4MFGcq6urSy28CoVCeK/cjYykFHy7/wzLnNrLVHw1sCwPh8Z1iHjgs7eF+hsWBxPFeaTvV7zcdxoZySk4MnquzMVXuuJcnPY5TAivQoEAj5ZtQ3ZGJj5df4Cl1dvKVHwtX8URFk6VifjXu95IiY0X+TjlypHFnriEevvA99RVpMUnYv+gqdjd5z+Ziq/0rijRx5wJ4VWQk4sHCzdDkJMDn7PXsbRaW5mKr7Z1a1JOQf9w5R6y0tJFOgZTIlzQvef4cu0Bkn/HYGePcTgwdIZYLh1xYWKxIV1dXamF15zMLNxbuAlCoRAvDp+XufhaqUVDaBmRz52+52+K7EZjasy/X7oP/0cvkRAeiS3th8lcfGWirQYTwmtWWjruLdoEAHiy6ziW1+wgE/E1n+odmkNNi7wfiVOcMyXCfTl5HSFvPiImKBQbWgzA6elLZSa+8ng81OnfhXKblXM1yv8nopAY8gsfT1zF1YlLsLfJAFwauwC+hy4gLiCE9v9nRmIy7i3eDKFQiHsb9slcfGXCKMLUmH84dBGRX34g6lsgVjfqhYvua0QWf8WFKaOIoaGh1MJryu9Y3Fu+DYLcXNzw3IoVdbvKVHxlwijClPDqs+skYn+GIez9V6yo202m4itTRhEmvuuJoZF4uHoPcrOzcdljLVY36iXWrAJxYcIooqKiwoghzMDAQC6twQDmjCJMvViSl9Be2lEIzixiZmYmlTAR/eE7fI5cLPi3vMRXaVFVVYWVlZXEPy8UCPDMaxey/5qWJ2vx1cKpMkwr2RPxLzcfIz0xSeTjmJubSyVM/Hr5AR/P3y74tzzEVyaKc3V1dVhYSNZfD8gTY54sK/wy5duD51jm1B5P956UiRBn38gFehSLb76/dAfZGaIXSRYWFlBTU5M4j9CHr/D9r4dleYivTLglNDU1Ub58eYlzyM3KxqNl2wrFZC2+VmnTBBp65AsCXzHcEgBgZWUl1cNXwLVH+PnMp+Df8hBf6d0Styn2pkZbW1sq0Tk7LR2Plm8vFPM9d0Om4qtT51ZQUSfPT3EEGR6PB2tra6nEqG9nbyH8/deCfydHx8pUfM2buUO+YMlKS8fH6w9EPo6urq5UD+6ZSSl47LWzUOzlkfNY5iQ78ZWJthr5Yy6Ns+Xz0cuI/h5U8O8C8XXcfJmIr0rKyqjdi2yrkRobj28Pnot8HH19fakME+kx8XiyZk+hmKzFV6Z6XtrY2Ejl/Hy/+wziQ/7/4lbW4quqpgacurQi4vGhEWKJnkZGRlIZJlIjfsN706GCfwuFQtzfuF+m4ivdc4yBVXmsjfXFtLvH0GbWWJhXryTR8XOzshH63Bfea/fhePf/cLjdSDxYshUB954hKyWtYL+3W44h+ff/79uyFl+ZNIpIY5hIDAzD8+3HCv4tFAhw02ubTJ2vTK3FYWMjuTteKBTi1bqDyEj8f8vF8A9+MhVfmTKKmJqaStUiLPZLAN4cOFfw77/F119fZSO+MmEUUVFRgbW1tcQ5CIVCPFu5u9DL+uDX7+Hp3Al31++ViRGQKaNI+fLloaFB9voXFQ0NDZiZmUn885LAhFFETU0NlpaWUuVhbW0tN6G9tKMQnFkk/+FVV1dX7J9VVVLGg8WbKbfli6/3Nx+QS89XSdDT04O1tbXYb5F5PB7C77xA0HMfYpssxVcej0dZsORkZeH95bsiH0dJSQl2dnbQ1iZX1i0OVfBxj2bMZSm+1uzWRmq3BJD3BtTS0lLsMefz+fh56UEhMSafzJRUHB0zD1s7jWBcfOXz+ZSLcWQkJePL7SciH0dZWRl2dnYSvVxSzhHg/tJtlNtkKb469+pAOU7ijrmRkRHMzc3F/nwlJSV8O34N0T9+EttkKb4qq6qiVo92RDwpKgY/nrwS+TgqKiqwt7eX6OUSPz0LD1fsotyWL776XhDdlScqVD19AfEXGypXrpxED5/Kysr4tO88EsLInoMF4uuQ6YyLr+o62pRuieiAYIT6fhb5OKqqqrC3t5fs5VJCKh6v20e56eWR81havS0+33wo/nGLwYV2zMUTXk1NTSV60aCiogLfrceREk325Zel+KpjYoRKLRoS8RCfT/jt/1Pk46irq8Pe3l4ip3Pu73h4bz1Kue3J7hNYJqO2A0y0WODxeDA3N5foRYOKigpert2PjCRyTGOCQrG+eX+ZiK/GdlawqVuTiP949BKJkb9FPo6Ghgbs7OwkermUGRyJV/vPEHFZi69MiHA8Hg+WlpYSOSDVVFXxxGsXZQuKAvHVbTXj4quFU2WYVqQ2iuRkZKJyq8botcYNCz/eworQ5xi8ZyWce3WgnKIvCsm/ovH57E3cmOaFva4DcH7EPDzz2gXfU+Q99G/xNfSd6PcZUaG7n4tjFOHz+bCyspLIAammoopHS7dRri9UIL4u38K4+MqUUURbWxu2trZiv1Dk8XiIf/MVXyhe2spafGXCKCKNLqGmrIIHf5z8/5InvnaUifjKlFFEV1dXoheKPB4PkQ/fIOAxWSNkZ2Ti7MzlWN9iAKIDgsU6rigwYRRRUlKCra2tRLqEpOeJtDh1lr6tBpD38tzKykoiXULS86SsIpXg3LFjR9SqVavQn507/+9UefPmDbG9Vq1aiIgQ/W0b11FSUoKVlRXMzc1FKlRVVVVRvnx5GKhpUoqA+WSnZ+D01CXY2GqgTNsOSIOuri4cHR1Fatif35Td0dEROSlpRe4vK/GViYd2IG/MbWxsUL58eZEKVTU1NZibm0NHSRUqRQhYf4uv4iwUURya+nqo2taViP/68gMRn7+LdSx9fX04ODhAV1dXpDHX19eHo6Mjsv9yi1Dx+cZDLK3WBi+PXWR4zKUvzoH/i85mZmYivQ3Nd4RrCpUoV5nPp0B87T0BSb+ZW6jCwMIMDk3qEvGgF75i95A2NDQsGPPi4PP5MDAwgIODQ7ELiBWIr2JMiRYFps7zfNG5XLlyIo25hoYGrKysoJ4jhKoW/ZgnR8diV8/xjIuvZpUcYFmzChH3u/cMKTHiLdRpbGwMe3t7kR5g+Xw+DA0NYW9vX8gVRsXLoxdkIr4y0TIJyLs/Ozg4wMTERCRBSlNTM88ZnZUL1SKmeCdGRGFLh+GMi682dWrAyJZ0eHy8eg+ZqUWPxd/weDyUK1cOtra2IrmjlJSUYGRkBDsbG2QX074jX3z99lB0B64oMDFzB8i7Pzs4OMDY2FikoktLSwu2trbgpWVBrYjzPPZnWJ74Om2JyC1ORKFCs/rQMSGngIrTVgP40y/XzAw2NjYijbmysjJMTExgY2GJ3KyiRab7G/fDs1ZHBL4gjQXSQNlWQyiE7znx7iEaGhpwdHSEkZGRSOKEtrY27OzsIExJL/J+LivxtVr75lDTJsfI58x1sUwp+S8arK2tRXqBrqysjHLlyqG8cTlAQP9cJhQIcHPFdqysy6z4Srv+CoVRxMCyPJqM7o9xZ3dgXYwPZj05g/ZuE2Fdu7pEny3IyUXEm0/wOXGlyP1kJb7W7NaWEaMIn8+HpaUlLC0tRXJBqqio5L2A1DegnEWST252Ni4vWMe4+MqUUQTIO28dHR1hYGAgkiClq6sLe3t75KakFVmf54uvd9btYVR8Zcookv+iwcLCQiTThKqqKszMzGCooQUlZfrfOyczK098bd6fUfGVKaMIkLdGgYODA/T19UXWJRwcHJCTnFbk993/ySssr9kBj3YcYbRGZcoo8rcuIYoWpaamhvLly8PGxoaV/sXqOtqo3rEFERfXKAKgYAxF1aLydQkmF4gvC/CEUnzzbW1tERws/kUjKCgItra2kn4sp8nIyEBCQgJSU1OR++dGpKSkBE1NTejr60NdXb3ghMjOyMCVRRtwZ83uIi9gatpa6LNhARqP6sfYSqxMk5ubi6SkJCQmJiI7OxsCgQB8Ph8qKirQ09ODrq5uoYuav/cbHBo+C9HFuJGqdWiOwXtWwsBC+ukeQqEQS6q2RqRfQKG4kooK1vx+A0198acbCoXCgjFPS0srNOZaWloFY55PZmoaLsxbhYdbD9EdEgCgqa+LfluXot7AboyM+YvD53Bw2Ewi3mnhFHRZMkOiY+bm5iIxMRFJSUkFY66kpFRozP8u5vzueePwyDmICwkv8rjOPdtjwI7l0C0nfX8mgUAAN+tGSPhHwFfX0caa32+KfAFAh1AoRHp6OhISEpCenl5ozLW1taGvr1/ohp+elIyzM5bDe9+pIo+rY2KEgTs94dyTnDItCQ+2HsKpyYuIeK+17mgzc4xEx8zJySk4z3NycgqNub6+PrFC+Ier93B0zDwkRRa9sFO9Qd3Rb8sSaBlI3yM9JysLc8zqIu0fMVennDFWRbwEX4KHK6FQiLS0NCQkJCAjI6PYMU+JjcfJSQvx5mTRxaqeuSmG7luFau2bi50TFTe8tuGS+xoiPmj3CriOGSDRMXNycgrO87/HPH8xUW1t7UJj/vbMNRyf4IHUYqYEuo4dgF5r3aGuI74r418yUlIx26R2oTZNQJ4rclnAY4muoUKhEKmpqQVjni/sKCsrF4z53y8ck6KicXTsfHwoZsaMka0lhh5Yg0rNSYeuJJyfuwK3V5OO+tGntqIOzQu34sjOzi4Y89zc3IIxV1NTKxjz/P+nQqEQL4+cx6kpi5H+1xRkKlpOHYHuXnOKFO1EJTk6FnPL1yMKfqtaVeHuK7oj7G+EQiFSUlKQkJCAzMxMCAQC8Hg8KCkpQUdHB/r6+oVePsWFRuDIqLn4eqdoIcS0oj2GHVoL+wa1JcrrX45PcMfjnceI+OQbByW+lmRlZSExMRHJycnIzc2FUCgEn8+HmpoaDAwMoKWlVWjMn+w6hnOzvIp8scHj89Fu7nh0WjQVKlK0pconNjgM7rZkq4EKTeth5qPTEh1TKBQiOTkZCQkJyMrKQm5uLvh8PpSVlQvG/O+XT9EBwTg0Yjb8ixFCLJwqY9ihtbB2lkzw/Jd9g6bi9fFLRHy29zk4NHKR6JhZWVlISEhASkoKcv6IpXw+H+rq6jAwMICmpmbBmAtyc3F/0wFcdFuNnEz6BdT4ysrovGgq2s2bACUGFioM/+iHZTXIZyKnzq0w8Qr1rJJ/SYqKxpfbT/D5xkN8uf2k2HuTpNjUrYnhh9ahfBVHRo63rfNIfLx2n4gv/HQb5tUqSnTMzMzMgjH/+zkmf8w1NDQKxjw3Jwe3Vu3EtSWbinyZpaymim6es9Fq2kiJnq/+xd/7DdY26U3E6w3qjpFHN0p0TIFAUHCeZ2dnFzrP9fT0oKenV6hGDX33GQeHzUT4B78ij+vYpC6GHVzLyAKXALC2aV/Ka4tXsDcMrSVra0inS2hoaMDAwKCwLpGZiWtLN+PWyh0QFvEyS1VTA73WuqHp+MGM1KifbjzA1o4jiHjTCYMxcPtyiY4pEAgK6pWsrKxidYmgl744OHRmsS1Nq7RxxZB9q2BoJf7sTyqW1+qAsH9mAPOVlLA68jW0jSXryZ1fo/6rS+RrUdK04GCK1ycvY9+AKUS83dzx6LFynkTHpNKiitIlFIiOQnDmAKKKr9U7tsDwQ+skvgCVNMQRXwfvXYXavci33uJyZdF6XFtKtrUYfmgdGgztJfXxRUVU8bV2744YsnclNPSkm/aRlpCIOaZ1iZWWzao4YtHnO3J7kSGO+Drs0FpU70C+ARWX09OX4v7G/UR8/MXdqNWtrdTHF5WP1+7jyOi5xYqvDYb2xIDtyyVeFCefxF+/Mc+iPvEyy65+Lcx9cVGqY4tDSmw8Tk1ehNcnLhe5n565KUYe28iIEHd45Gw8O0BOfZ5+/zgqtWgk9fFFRVTxten4QeizYYFEL0D+JupHEBZVJM+ZKm1cMfX2EamOLQ5JUdE4Ns4N7y/dKXI/I1tLjDqxmREhblfvCfA9d4OIz39zBTYuTlIfXxTEEV9bzxiNHivnFumkEoXgtx+xog65uFbt3h0x9sx2ip+QDfFhv3Bk1JxiXWimFe0x+tQWWNWqJvVnbmo7hFLsXfL9AUwr2El9fFEQCoV4svs4zs30LFZ87eA+CZ0XTZValPG7/wwbWw0k4o1G9sXQfaulOrY4iCO+jj61lREhbmX9bvj56n2hGI/Hw8rwl9ArL/2ip6IgjvjaddkMtJ0zXuoi993FW9jZYxwRbzltJPpuWCjVscXh11d/HBw2E8Gv3xe5n03dmhh9cgtM7CXvqwrQG0WUVVWxOuq12EYRQW4ugt9+xJebj/D55iMEvXxXpLAmLspqqui1xg3NJw2T+rma1iiyaCq6LJ4u1bHFQWTx1bUeRh3fBANLydf+AGRjFJEEccTXfluWoPHIvlJ/5oMtB3FqymIi3nudB1rPGC318UUl6KUvDg6biahvRYuvVdu6YviRDVIbhHKysjDHtA7SEgqvqSSNUUQSstLScdF9DR5sOlCkEVBdVweDdnmibv+uUn/mdc+tuOyxlogP3rMSTUb3l/r4JRVao4i9NZb5PyqxBsuyilRPMD9//oRQKBT7j0JsZhbHxnXg8e46WkweXuR+n64/gGftzjJdHVmeqGlpov+WJZh273iRb27TEpKwu/cEnJmxTKwpo1TQLk5A0aNNllRu1RgLPt5E41H9itzP5+x1eLl0kXqBDk19PVRt15SIR371R8Snb1IdWxw0dHUwZO8qTLy6v8jiMDk6Fls7jsDlBeuknrJGuziBnMfcqVNLLPx0G3UHFP2A8uLweays103q1ZH1ypeDoytFW42X7+TapkfbyACjjm/GmNPboGVEv1BVYkQUNrYahJsrt0vdu55uur28z3OXPp2w6PNt1OxGrsL9N493HsOaxr0REyTduJhWsINVrapE/Nv9ZzJbrJAKXVMTjL+wG8MPr6fszZdP7M8wrGvaDw+2HJR6mmJJGHMej4cGQ3th4afblG2M/ubu+r1Y17y/1O2TrGtXhzGFqPPx2n1kpBTd1oZJDCzLY/LNwxi407PIl2VR3wOxumFPeO+XzJH6N0y1z5EGHo+HpuMGwePDTVRoWo92P6FAgOvLNmNzu6FSt0+q0LQedCgK/HcXbhEvlWWJiYMNZjw8id7rPSj7MeYT/tEPK+t2xZtTRc/4EAWqZzihUChWn1Np4SspofWM0XD3vU7ZVzofQU4OLs5fjR3dxkjdPqla+2aMtNWQlvJVHDHn2Tl085xdbNuBFS6d8eGK6GukUFFkW41iXmhSwVdSgl29Wui0cCrmPDuPNb/fYvTJLWg4vDd0zUykyhXIaztwaspibGk/DOlJRb90LI4aXVtDmaJtn7yfXa1qVcP815fRwX1SsW0HvGp3xte7T2n3EQU+n0/ZaiAjOQWfb8pmIVoqVNTU0N1zNuY8O0e56Hw+WWnpODJqDg6PnC1173q6thpMXDvFwa6+M9x9r6PV9FFFCn9fbj+Bp3Mn+Hu/kerz6NpqJP+OwfdHL6U6tjioamqg74aFmP7gBIztrGj3y0hKxr4BU3By8iKp77l0a3HIu16RN+raWqjeqSURjwkMQcjbjyxkpKAoFL5wjqCmpYl+mxcXK77Gh0ZgrWtfPNh6iPGFxtiicstGIomv9zbsw/oWA6Qq0M2rVUT5qhWIuN9db7F6XjKBqOJrdEAwVjXogWcHpCvQ6YpzcRZNZIoC8XVgtyL3u758Cza3HyaVWGZb3xkGFFOfPl1/IJPVpouiQHw9s73ImQq/vvzAirrd8EbMPl7/QveC5eOVe1IdVxIKxNfu9K5yoUCAi/NXY2f3sVIV6JVbNYYmRXuOD1fuyf26Kar4GuLzCV61O+HDVenGhnIRktxcfKJYBEeW8Hg8NBjSs1jxNTc7G6emLMa+gVOkEkidOrWEigbpfPpwWXxRQlpEFV8Dn72Fl3Mn+N3zlviz6ASZ7PQM+ElZ+EuSiyjia3ZGZl6BPmqOVAV6rR7tKJ1PbIy5ib01pj84+WemAn37CL973vCq3RkBz95K/FlKyspw7kW2GUiLT4T/U+kKf3Hh8/loPX00PN5dh209evE1MzUNe/tPxqkpi6Uq0Kn6uwLsPMeIKr5+vHoPK1w6I8Tnk8SfpaKuTvniMiE8EqFSHFcSlJSV0cFtIua/vgSLGpVp90tLSML2rqNxYf4qqZ616J5jimtfJAraRgao068Lhh1Yi1URr+Duew3dV8xBhWb1wZeiJciX248x08gZ+wdNhd89b4nMMrRGEb8ARP0Ikjg3SVBWVUW35bMw5/l5mFV2oN0vOToWm9sOwfXlW6R6EUJnFGFizMVFVPH12YEzWN2wh1gL1/6LvrkppVHk56v3Yi2OygSqGuros34BZjw8WaT4mhgRhfXN++Puhr1SPV/T1ahs3M8rNmsAj/c34DqOnEn0Nw+3HsK6pn2Lna1cFKYV7SmNIt8fvpD6pVVJpyTpEgqKRiE4c4wC8bWIaRS52dk4NXmR1AV6SaJAfL12oEjxNcD7Dbxqd4bf/WcSfxbVm/OcrCx8e8DsokaiIor4mp2RicMj5+DI6LkSF+h0bonPNx5KdDxp0TLUx6hjmzD27I4ixVe/u0/h6dwJgc8lK9DpFiFJT0xG4HNmFzUSFZfeHbHw060ixdfMlFTs7TcJp6ZKXqA792pP+YD8iaUx1zU1wfjzu4oVXz9cuZtXoPtKVkgrqahQuiUSI6IQ/uErxU/IlkLiK0UBmU9aQhK2dxmFi26rJS7Qa/ehfoBj6zzPF18H7fIqUnx9c/IKVtbtiogvPyT6HDUtTThRuCWivgVK7RyXBFHF1+ToWGxqOwTXPbdKXKC7lLAxF1V8fbb/NNY06inxAkTaRgao3IpskRP8+oNcHf358Pl8tJo2Cu6+14oUXxPCI7GuWT/c27hP4gKdzhXF1pibVXbEbO/ixdcHWw5iXbN+iAuVbPFxIxtL2NWvRcT9H79i5Xn4b/GVatHWfGKCQrG6UU882XNC4jGnW2CKrfu5Zc2qmP/6Mjp6TC5yyvutlTuwue0QJEUV3U6MDvNqFWFG0Y7l613JhFw6eDwerGpVQ/t5/2Hmw1NYF+uLsWd3oP6QntAy1Bf7eIKcHLw6fgkbWw/C7HIu2DdoKt6cuiKWiEQ35myd53b1asHN5xpazxhNK74KhUJcXrAO27uMQmpcgkSfY1vfmbI1x+ebj1gxW4kqvoa9/wovly54d/GWxJ9F+wwnR3f331RoWh8eH26i6fhBtPsIcnJwdsZy7Ok7UWKRlM4o8vkGO7+3uo42Bu30wuSbh6BfxDpSQS/fwbN2Z3y5/Vjiz6Iac0FODvzuSm5GKA04dWpJ+YzI1vVNAT0KwZmDaOjqYMielcWKr29OXsHKet0YXSGYbZw6tihWfE3+HYNNbQbjhtc2iQp0KlECYPcCJ6r46r3vFNY07oXowBCxP0NDV4fyzXngcx+pp3tKQ+1eHbCwGOdrQngk1jbth3ub9kv0sFkSx1xU8fXB5oNY37w/4sN+if0ZemblYE3Rv/b7g+dST/2TFFHF15igUKxu2BNP955kdMzZKs6BP+LrjUPFiq83V2yXuEAv52gL04rk9M8vt5/I3dGfD4/Hg+vYgcWKr5F+AVhVrxtenyAXxxKF6p2oe76zOeaiiK9CgQCXPdZiR9fREhXoVs7VKJ8VPt1gpzgH/hJfi3G+hr77Ai+Xznh36bZEn0M1JVMoFBbbS1qWiCK+CnJycGb6MuzpN0miAt2xSV2o65L3DTbvaaKKr0EvfOFVuzO+FLPYIh1UY56TlYXvLJkGgDzxdd6rS+joMZm27UBOZhaOjZ2PQyNmISstXezPqNK6SYkyDQB5zteuy2Zi9rNzRTpfvz14Dk/nTvhRTL9vOqju5xlJyVLNFCgODV0d1O7VASMOr8fqqDeY/uAEWk4bWaTgSEdaQhJeH7+Evf0nY5ZxbWxuNwQPtx8p9rmueofmlMIum2OuqqGO3us8MOPRqSL/X+S1geyE4DcfxP4MPp+P6h2bE/HEX7+lbjEoDaKIrxlJydjZYxzOzVkh0TNXSaxX1LW1MHCHJ6bcOlyk+Opz9jpW1u2G8I9F9/umQklFhXI2XNT3QIlqXqao1q4ZFn66hQZDe9Lukxobjy3th+Hqko0S6hIl79lVHqhpaaJiC3LdnuA3H6RuPaaAWRSCM4dx6tgC7u+uo3KrxrT7RH71x8q6XSUu0Esi+eLr0P2riyzQL7mvkahAt3Zxgo6JERH/fOMh621KavfqAPd31+HQuA7tPqG+n+FVuxPeSzDNqFqH5kRMKBBQLrwkT3TLGWP8+V3ot2VJ0QX6tKXY238SMpJTxDq+Q5M6lAIf229R88VXd9/rsK5Nv5p94HMfeDp3kqhApxrz7IxM/Hj0QuxjMYmBZXlMun4QPVbOLbJAPzpmXl5vPDEL9MqtG1NOiS0JY+46diDmv7lc5Erz+QW6/9PXYn9GtQ7NiFhafCKx2Ja8MbG3xvT7J9BxAbkydT6ZqWnYN3AqTkxcgOzMTNr9qKjWnvy9AfbHPF98nfviAkwcbWn3+3jtPrxcOotdoPN4PMrfPT40Ar8kdIwzhVklB8x+erbIBY/SE5Oxs/tYnJ8rfoFOdX0D2B/zfPF11pPTlC2d8vE5cy2vQBdzLQUlFRVUaU0+G0Z8/i6xe5gpLGtWxdwXF4qcjpwSE4ct7Ybi2tJNYhfo1WnGnO3iPF98nX7/OHRN6RfRenHoHFY17CF2WwQ1LU04UrywC3r5TmInKVPY1auF+W+uoP7gHrT7JP76jQ0tBuDOuj1iP2uzfZ4rKSujUvOG6LthIZYFPMaCj7fQdfmsInt405GbnY0vt5/g5MQFmG/VEF51uuDass0Ie/+F+P+ibWwIm7o1iGN8f/iCNdNAPhVc68Hd9xqce5LtffKJCw7Hmsa98Xjn0VI35nTki6/jzu2Euo427X531uzCxlYDkfhLvFYYxnZWlD2jv7JoGsinatum8Hh/g/ZZC8gTiFfW744XR86LffySOuaa+noYfmg9hh9eT9m6Dch70X118UZs7TgcKTFxYh3fokYV6JmbEvGSoEvIGrr7+ZdbkjvGFTCPQnDmOLrljDHl1mF09JhMu09+gc5E8/qSRKMRfTHn+XmYONjQ7lNQoIvRYJ7P51M6K2OCQhH1vegVeeWBgYUZZjw4gVbTR9Huk56YjB3dxuDCvJViPYCU1Js5kCeatJg0rNgC/e3pa1hRtysiPn8X+dgqamqoRDH1OvTdF7EfBmWBsZ0VZnufhevYAbT7FBToyzaLVaBXpxAfAfaLcyDvXGw3dwKm3TtWZIH+/OBZsQt0DV0dODR2IeIB3m+RnphE8RPyxayyI+a+vIh6g7rT7pP463deb7z14vXGK8nnOV9JCV2XzsCk6weKnKb8aPsRsXvj6ZmVg5VzNSL+7f4zZGewW5wDeUKc25vLRc7miP0Zlleg7zrGyJiXhPNcSUUFvdd5YOzZHUUW6LdX78LG1oPE6lVpWsGO8hnhy63Hcl1MjQ67+s5w97laZB/zqO+BWFW/O14evSDWsUvyea6iro5BO70w/NC6Igv0K4s2iF2gW9WuTrloYkkpzis2awB33+twdKWfzRH+wQ8rXLrA9/xNsY5NVZwLBQKppnMzhZqWJoYfXo+BO5ZTOrGBvPUEzs3yxO7eE8S6Dzs2qUO5aCIb1zcejweL6pXQ0X0S5r+6hBVhLzBwx3JUaFYfKKLHLx0hbz/iysL1WF6rIzzsXXFq6mL43X9W0C6EzjTw/SF7jv58NPR0MfbsDvRa607bViUnKwvHJ3jg4NAZYq2VU7lVY0oDyieWWiz8i3PP9pj/5jIsnOj7mP94/Aqezh3xXUyDB9WYpyUkIejlOzGzZB5tIwNMvHYAXZZMp22rkp2egYNDZ+DYeDexnr1KqmkgnwZDemLeq0uUswjz+XLrMTxrd0bQS1+Rj0tnGkgIj0SEmC+jSxsl+TlGwf9RCM5lAL6SEroum4mJ1w5Q9jfKh4nm9SUNq1rVMF+UAr1RLzzZfVzkYqOkX+CUVFTQZ/0CjDmzvcgC/daqnWIV6OWrOFIuSvn55qMSUZwDIhbo3wKxsl43sQp0ureon28+FDND2aCiro5Bu1Zg2MG1RRfoC9djW6cRSImNF+m4tvVqUQp7bPVFo6JS84Zw87lWfIFep6tYBTrVmAtyc/G1hPRFU9PSxIgjGzBg+7IiC/SzM5djd5//RJ56X7FZfcrvUEkQH/Op3qEF3HyuwqYO6d7K5+er9/Cs3Rmfb4n+XaW6tmelpePHE/Gd4rJAQ08X48/vQs81bkUX6OPdcXDYTJEL9CptmlAer6Tc04C8GTzFFuiPXsLTuZNYBTrVmKfExEk0lVsWaBsbYtL1g+i0aCptgZ6Vlo4DQ6aLVaDTFecl6TxvMLQX5r28iHIV7Gj3KSjQX70T6Zh0poHYn2GI+hYgaaqMole+HKbfP442s8fR7pORnIJdvcbj7MzlIvciLunPrjweD03HD8asp2dgaEO/ALrv+ZvwqtMVYSKuqaCsqkrZrz38g59UC4kzgYGFGZqOH4yZD09h7e+3RbYKK47Yn2F4sPkgNrYaiNnlXLB/8DQoq1LP+ispz3A8Hg9tZo7B9AcnimwD+fLoBayq3x2RIp6j6jracGxCzvYMfPYWaQnstQH8G9OK9pj74kKR7RaSomKwoeVA3Fq1Q+QalbZeKSHnOZ/PR6eFUzHpxkFoGRnQ7vdk13GsadJH5HU0dE1NKGd7+pUQ0wAAWFSvhHmvL6F2b+r+6kDe7LK1rn3xYOshqXWJknQ/lwXlHG0pZ/59ufUYgtxc+SekgBKF4FyGcOpYfIGe37xenAK9pKOpr5dXoK+eX2SBfmycGw4OmynS1PuqbV1LXF80Klx6d8ybel+9Eu0++QX6j8cviz0ej8ejnG6fFBnNal+0fxGnQD8+wV2kqff0N/OSda40HNYbc19cKLJA/3zzEbxELND5SkqoQiHe//4RJPFiXbJA39wU0+8dQ5tZY2n3yUhKzivQZ3mKVKCX9OIcyDsnm00YklegU7wMysf33A2sqNNVpN54KurqqETRFy3k7UeJF26SBUY2lpj19AyaThhMu09qbDy2dhiOK4vWi/TwWdILNSBvzNvOGps39d7MhHa/l0fOY1WDHiIV6Jr6erBvWJuI+z95LXYLIlkiUoEeGY2NrQbh1uqdIhVrpeE85yspocvi6aIX6D+LL9ANLMtTivd+d71L1Gw3C6fKmP/mMpx7kYv35hMfGoG1Tfrg4bbDIo15SZ65k4+SsjJ6rZ6P8Rd2Ufbbzufu+r3Y0HIgEiKiij2mWWUHSiH3882S4ejPx7ZuTbi9vUp7bgJAtP9PrGrQA88PnRXpmHTH+sLSYmpUaBsbYsrNwxh5bBNUNTWkOlZaQhJeHbuIS+5rKbeXpO86kNdiw83nKio2b0C7T8Tn71hRpyvenrkm0jGpxrwkmQYAQFVTA8MOrsOg3SugrEZtHBAKBLgwbxV2dB8jklheoWk9yu9PSbqnAXn9jd19r1Eu5JpPyNuP8HLpjI/X7ot2TCpHf3oGfjyWrP+7LNDQ1cGY09vQZ8MCytZ9QF7rnFOTF2HfwCkiLWhbpXXjEm8akBVUz+2pcQn4+ZrdNoAK/o9CcC5jGNta5RXoRSxYUFCgL97AmbdDPB4PbWePE6lAX1m/e7GtMbSNDSkXMvr+6KVEi7nIkvwCvf6Qogv0DS0H4vaaXcUWa/TFecl5aAdEL9Af7zyGtSIU6EY2lpQrnfvdYb8v2r9Y1qiC+a8vFd0bLyQ8r0DffqTYMS+pPS//RUlFBb3WuGHc+Z1FF+jr9ohUoFs4VaZc4IStlc6LwrZuTbj5FF2g//4RhJX1u4tUoNMW5yWsL5qKmhoGbl+OEUc30hboQqEQ15ZuFmnqvV0DZ2jq6xLxkvjQXqFpfbj7Xiu6QP/0DSvrdsPbs9eLPR7VmOdmZ8Pv/jNp0mQcUQp0QW4uLsxdiZ09xhZboFdq3oDyOCVxzKu1awZ3n6vFF+i1RSvQqV4gZ6akIsD7jTRpMo6Grg7GntmO3us9iizQT05aiP2DphZboFdp25Sy939Je44BgFrd28Ht7ZUiF1L0f/oans6d8O1B0ecqj8ejvJ8n/45BqO9naVNlFG0jA0y8uh9dl80scur9oeGzcGTMvGIdjKXlOQYA6g3sljf1nqIXL1NE+//E13tPZXZ8SdAzK4epd46i/fz/aPfJTEnFnr4TcXrakmJfjJWGl4nAn7U5xgzAbO9zMLK1pN3vw+W78HLpghDfT0Uej9Y04PNJrJZT8sDQyhwzH59Gi8nDafdJi0/Ets4jcdF9TbG6RGlx+vJ4PLSaNgozHp6k7L+cz5uTV7CyXjf8+upf5PE09fVg34hsA+j/9I1ECwuXJqieY4CSd56XZRSCcxlERU0NA3d4YsSRDUUX6Es2SdS8viSTX6BXaFafdp+IT9/y3qAXU6BT3dRyMrPwjcWVzulQ09LE8EPrMGiXV5FT78/PWYGdPccV2RuvcstGlH3RSuqFXZQCPfjNh7wC/fqDIo9FVbCkJSQh6IXovbbkRX5vvN7rPGid/bnZ2Tg5cQH2D55W5NR7uimeJXXMnXv86Y1Xg37qfUGBXkQfw6L6okmyirasEadAPzp2fpEFemkqzgGg/qDuxRboX24/gadzJwS+8KHdR0lZGZXbkI7+SL8AkVyj8ia/QG83bwLtPhnJKdjT5z+cnr60SGd/aXpoF7VAf3/pDlbU6YrQd/RimqqmBqVo//PV+xL5/GNobYGZj0+j+aRhtPvkF+iXPNYWWaCXlpk7QN6Yt54+utgC/fWJy8UW6NpGBpSmgR+PXorVJ1ZelHO0xZznF9BoRB/afZJ/x2Bj68G4uWJbkW7l0iLCAXlT7zt6TMaU20coF+vOx3vvSaxu1AvRgSG0+xhaW6B81QpE/OudpyK3JJEn5tUqYv7ry6jTr7PMPmNT68HwrN0JN1duLzEz1pSUldHdaw7+u7yX8uVvPvc3HcD65v0RH/aLdh/zahVhYFmeiJdE0wAA2Lg4wc3nGpw6t6LdJyYwBKsb9oT3vlNFHqu0mAaAvJY3/TYvxqgTmykXaM/nptc2bGo7BEm/Y2j3satfq9SYBgDAsXEduPteQ+VW5CK++UR+9cfKul3x+uTlIo9FNXNHkJMDv3slx9EvCyo2bwgVdTUiXhKfY8oqCsG5DFN/cA/MfXmx+AJdzOb1JR09s3KYdvcY2s0dT7tPfoF+ZsYy2gfR0tD/8G94PB5cxw7E7GfFFOgXb8PLpQttiwzavmjPfUpMX7R/EblA7zQClxesoy3Qq5bCMW89Q4QC/fglrKzXDZF+1AW6rqkJrF2ciPi3B89LTF+0fzGtYIe5Ly4WX6C3GoSbK7fTFuilqTgHChfo2saGtPs93XMCaxr3pu2NZ+JgQ9kX7evtJyV25kt+ge7StxPtPvFhv7CuaT882HKQtuAs6QvP/IuSsjJ6rJiLCZf2QEOP3tl/f+N+rGven7ZnqWXNqpSLb36+UTKLc0C0Aj06IDivQN9/mnYfqjEXCoX4cvsJI3kyjbKqKvpvWVJsgX7Dcys2txtKW6A7Nq5Duc5DSf2uA/8v0Cu1JHvy5pNfoL85dYV2H6qXajlZJdM0AACqGuoYun8NhuxbTVlcA3lT7y+6rcGObmOQGk/9PFapRUOaxdQeMpkuo1Rp3QRuPlcpHXz5hPp+xgqXzvhw5S7tPlTneUZSMgKf07+EZBN1HW2MOrEF/TYvphyzvzG0sSjy+k9HqO9nXJy/Ggscm8HLpTNurdpRpHAvL2p0aY35b69S9uTNJ/C5D7xqd8bXu9RObR6PR/ncnhgRhXAR+3/LGy0DPUy4tAfdvWZTzsIA8sxNR0bPxeGRs5GVTv0MXtqeXQGgbv+umPf6MuVs0ny+3X8GT+dO8KeZhaOkrEzZBjDqW6DIvaDljW45Y0y5dRgdPSbT7pOZmoZ9A6bg5ORFtM5+uhq1JM7cYRJVDXVKI2HImw9Ijo5lISMF/6IQnMs4FtUrYf7ry6jdp4gCPb95fREFemlDSVkZPVbOK7ZAv7dhH22BblOnBmWrhpKy0jkdNi5OcHt7FU6dWtLuEx0QjFUNeuDZAeoCnbYv2p2SNT3vb0Qt0K8v34LN7YdR3qRKS1+0f3FsUhfuPleLLNB/ffmBFXW74c3pq5TbqYrz7PQMfH9UfO9vtigo0PeuKrI33sX5q7Gz+1jKAr1K68aUU7hLcnEO5BXo7r7XKPvy5hPi8wletTvRFui0fdFEXJyLDdR1tDH65Fb03bSo6N54UxZj34DJlP2J6QXnkv3QXrNrG7j5XIOVczXafQKfvYWXcydKxwufz6csWOJCwoudzskmohTo2RmZODJqDg6PmkNZoJfG4hwQrUD3u+cNr9qdEfDsLbFNSUUFlVuTzqqIT98QFxrBaK5MolvOGFNvH0EH90m0+2SmpmFv/8k4NWUxZYFeWse88ci+mPP8PIztrWn3+Xj1Hla4dEaIDzn1Xl1HG46udYl40AtfpMYlMJkqoxhYlsfMhyfRctpI2n3SEpKwvetoXJi/irLVWWmZbv83PB4PLSYPx8zHpyjduvnEBYdD18wEQ/atRospw4tcdJGOEJ9PuDBvFRY4NIVXnS6si88m9taY7X0WTcYMoN0nOToWm9sOwfXlWyiNA6VtthaQdy9uP38ipt09Cp1y5EvgfJ4dOIPVDXvgt/9PYpuJvTVMK5KGsi+3S14bwL8pX8UR815dQt2B3Wj3SYyIwvrm/XF3w17Kers0nud8JSV0XTYTE68dgKaBHu1+D7cewrqmfREXEk5ss6pVjbJtaEnXJZiAasyFQmGJdPSXRRSCswKo62hjzKmt6LNxYfEFuojN60sLNbu2gdvbq7CqVZV2H7oCna+kRNlqICYwBL9/BDGeK5NoGepjwuW9xRboh0fOwZHRc4kCvbQWaoCIBfrdp/B07kQU6CpqapSibajv5xLXF+1fdE1NMPX2EbR3m0i7T2ZKKvb2m4RTU8kCvTSPeeNR/Yot0D9cuUtZoGvo6cKhESnaBni/LfF90Qwsy2PGw5NoOXUE7T5FFeh0LRZK+jQ1Ho+HllNGYFYxBfqbU1exsl43RHz+Xiiub25K2S/12/1nIi0wyiYm9taY8+xcsQX6prZDcN1zK1Ggl4ZFE6kQuUDffxprGvUkpo+bVrSHsZ0Vsf+XWyVrMTUqCgr0AV1p90kIj8S6Zv1wb+M+ovCkvbaXoMXUqOArKaHb8lmYeHV/kQX6gy0H8wr0fwR0axcnyjYNpaE4t6pVDW5vr6Bmtza0+8QEhWJ1o554svu4SGMuFAjw9U7JdPTno6Sigr4bFmLM6W1Q09ai3e/Wyh3Y1GYw8Vzm6FqX0nBQ0q9vAGDfoDbcfK6iCkXLp3yivgXi1ORFsKvvDM+gp/B4dx1dlkynnKFWHCFvPxYWn1fvZMUhqqKujsG7V2DYwbVQ0VCn3EcoFOLygnXY3mUU8dKkMo1poDSMeaUWjeDuew2OTcgXRPmEvf8KL5cueHfxFrGN6hkuLT4RP1+V7MXU1LW1MPLoRvTftozW2S/IycHZGcuxu89/xLN4aZul9jdOHVvAzecqbOrUoN0n6OU7eNbujM+3Ct+j6doAxof9Ip5zuUZpfLFUllAIzgoA/GleP3UkZj0+RblIVj5vTl7ByrpdS7TbSVxMHGww+9l5NB7dn3afvwv0vx/cS/MFLr9An3qn6ALde9+pvAL9L5dDaeuL9i9iFeib9hf6nUprcQ7kFejdPWfjvyv7iuyN92DzQaxr1q9Qbzy7+rUoi/qS7vrMx9q5OtzeXkGNrq1p98kv0J/uPVkoTunoz8mBXwla6ZwOZVVV9N24SKQCffM/vfHo+qKVhod2ALBv6FJsgR7pF4CV9brh9YlLheJUY56Zmgb/J6+ZTpNxChXoRUy9v+yxNq9A/8vZX6WNK81iag9llS6jiFKgh777Ai+Xznh36XZBjMfjUY55cnQsQt5+lEWqjKKurYWRxzah/9alRRboZ6Yvw56+Ews5+0vrS4Z8nDq1hJvP1SJFtaCX7+Dp3Alf/hJU+Xw+tWkgKLTYhaNLApr6ehh/YTd6rJpHu05DTmYWjo1zw6HhMwsZB0rzsysAuPTphPlvLsO8WkXafb4/fAGv2p3h//T/12w600DY+6/FLiJcEtAxMcLkGwfRadFU2nUastLSsX/QVJyctBBmVRzRaeFUuL25ggkXd0v8uSFvP+LC3JXwsHfFirpdcXvNLrmvadBwWG/MfXEB5SrY0e7z6foDeNbuhOA3HwpiGro6cGhMtmIJ8H5b5Ho1JQV9c1NMv38crWeOod0nIykZO3uMw7nZXoWMA6XZKMLj8dD8vyGY9fQMDK3p3fq+525gRZ2uCP/0rSCmZ1aOcqbXt/vPSmwbwL8xtrXCrKdn0HT8INp9UmPjsbXDcFxZvKHQS/HSPObSUK6CHaWp6MutxyW2DWBZQiE4KyiEfUOXvOb1rZvQ7hPpF4A1jXrS9k8qjahqqGPInpUYemBNsQX6kVFzCm7oVds1pXzoK00X9sotG8HN5yocGpN9mfMJffcFqxv2LHB/0hXnib9+0/Z+LmmIXKBPW4rTU5cU3NBLe3EOADU6t4Kbz7Uie+MFvfDF6oY9EfHlB4A/jn6qvmjfA0tEvz9R0NTXw4SLe9Bj1bwie+MdHTMPF93XFLxoKO3FOSBagf7twXOs+WvhJVUNdcrF1ILffChy0ZaSREGBvnBKkQX6voFTcXPl9mLHvDSd5w2H9cbclxcpe3Hn8+n6A6xz7VPwcknLUB92DZyJ/fyfvC41s5tEKdDTE5Oxq8c4PNx2uCBW2gs1Ho+H5hOHYtaT0zCwMqfdz+fsdaxvMaDgHDawLA/z6pWI/fzuetP2iixpGNtaYbaIBfrzQ2cLYlwY83ZzxmPavWOUU6nzeXH4PDa3HVLwcql81QqU35EvNx+VeEd/PmaVHDD35UXUH9KTdp/EX7+xsdWgQouA0y6OWgpMA0Des1iXxdMx6foBaBnq0+73aPsRbO8yquC67dS5VZH7i0rwmw84P2cFPOxcsaJeN7mKz5Y1qmD+60tw7tmedp+44HCsa9YPn278fxFwqvu5IDcXX0uBaQDIc/b3XuuOced2Ql2Xvg3knbW7sbvPfwWiasVm9Sld4aXp2dWuXi24+VyldS0DwO8fQVjTuDe+P3pREKO6tmelpeNHKTANAHkvxwbu8MSIIxsoWzkCec7+a0s24dCwmQXrTZV204Ck0OkSqbHxhV5AKWAHheCsgEDHxAhTbh5CxwVTaPdJS0jCptaDilycozTSaHgfzH1xocgC/dmBM9jZYxyy0tKhY2IEa4ppL98fvkBWWroMM2UWAwszzHhwAq1njKbdJ/l3DNY37w+/+88AFPHQXopuaqIW6A+2HMT+QVORk5UFYzsryoU2v5bwvmj/YmxnhdneZ+E6biDtPvFhv7DOtQ8Cn+e1FintxTnw/wJ9+v3jlAuk5XPTaxuOjpmH3JwcWNSoQrnoYmmYev03BQX64B60+0QHBGNNo54IffcZQOla6ZwOvpISuiyZUWyBfnH+apyZsQwCgQD2DWtTFnalqVAD8gp0tzeXiyzQIz5/x5rGvQsWDaVdTO3Ptb80IEqBLhQKcXLSQlxeuB5CoRCVWjSEsirZ6720jbldfWe4+14rskAPefsRa5v0KZgiT3WeZySnUPZ9LqmoqKtj4A5PDD+8nnbqvSA3F4eGz8LtNbsAAFXbupZ60wAAVGzWAO4+11ChaT3affyfvsa6pn2REBEFHo+H6hTPcElRMQh7VzpMAwCgpqWJ4YfWYeBOT8pzF8i7du3tOxGPdx4FwI3nGACo1r453H2vwbZeTdp9vtx+gg0tByI5OhZ8JSXKxdQAoNvyWajcugnti3g6gl+/Lyw+r92N2OAwsY4hLhp6uhh7dgd6r/OgdfZnpaVje9cxeHn0AgDujLlzz/aY/+YyLGpUpt3n/cXb2NxuKNISEqGiro5KLRoS+4S8/YikqGhZpsoo2kYGmHjtALosnUFrHMhISsbmdkPhe+EmAG6YBgCg/uAemPvyImXdmc/LoxewvetoZKamQctAj3LtFv+nbyjXLOESXDAHcRWF4KyAEr6SErouLbpAz87IxM4e42gXliutWNasCrc3l1GrRzvafT5evYdNbYcgNS6B8qE9JzML3x6+oPjJkouSigp6r/PIK9ApVq3H/9i76oAqtq+77qUFwUJUVMTu7u7uLmxF7O7u7u7u7u7uTsREURGUkub7g3ffx2P2mVszc2fu766/3jtn5oSbO+ecffZeC4kH0GX1uuD+3uPIW4MlpqaMKJGk0OWAfm/XUSxr0A2RoWHk5jXidwje334k3iBFgI29PTqsmsF7QA8P+o2FNTrg6fELiuZFS47cVcpi7MMTvAf06+t3Y01LH8RERpFz/+0fgK9J0viUADvHFOiyZQHar5zGPKCHfA/E/Mpt8PriDbM5qAGJB/QxD47BoxT7gH5h0QZs9BqMhIQE5KvFzfQJeOkr+oFaaOhyQA/65I+5FVvh/e2HZmVzXQ7oJ6YuwY7eY2Bjb0cqnX+4/Qhhv4LFHKbg+PeAPnkw84D+4+17zCnfHF8evyD3MYAybV7WqzlG3TlMCmZpcGDETOwbNh0p0qQiHXZvLt9WVNAAALhkTI9B53eg9ghv5jNfn73GnPLNEfD6nSKFtSioVCpU9u6A4df3MYXyEhISsMNnHI5OWoi0HpmRIW8OzjMvzyoraAAA0mR1x9Are1ClbyfmMx/vPsa8iq3w6+MXpkPG3iUlBp3dhjkBd9Fh9QzkrVHBMOfz8BkYm60iZpVpgrPz14q2VqpUKtQc0gNDLu0igwGAxAzFjV6DcW7BOrgXykvSRSqFBjAp3HJ5YuTNgyjXpSXzmbdX7mB+lTb48+2HWQQNAIkUSA3GD0D/01vglC4N+UxsVDTWtOyDq2t2wLNsMZI6UIlrmnvBPBh99wiKt2rAfOb5qctYWL0dwgKDSJvHxcSQYtHmhDzVypEC8Uq0ubnB4nC2gBcF61XjPaDHx8VhS7cR/0lFNgc4uDjDe/8qtJg3lnlAf3f9HuZXbo2sJWhaAqV+4Io1r4vR94/CvRB9QI+Njsa6Nv1we9sh5KzIpeHwu3EfEb//EG/KG7oc0F+du4aF1duTt8eAcm1e1qs5Rt0+xOTGi/kbiZVNeuLF6SskDccrhfCiJYfmgF5rOPuA/vjwWSyp7YWclWjHtNIO58A/B/TeHXkP6JGhYVhatwu+PH4J1xwenHql8qKl9ciMYVf5D+h3dxzGikbdycggQJm/8/8c0DOmJ58J/xWMhdXbI+R7IMnr/0xhEf0a6HJAv7pmJ9a06oO8NStw6hISEvDyjLIO58A/B/QJA9H/1GY4pk1NPhMS8BPzKrdBfFw8yfGuFI7+5HAvmAej7h5G8Zb1mc+cm78WmzsPJaM+Y6Oi8friTTGHKAqsrK3RfPZo9D60Bg4udGR/0Ed/zK3QEg4uziSdmBK/bwDgUbIwxj44jkINqjOfOT55MXb2GUdyd//9Ewq/mw/EHKIosLGzQ7tlU9B9x2JSEBFIpD6bU74FUmelM/k0Nk/pmhaVerXHoHPbMfvbHbRfNR15qpfX2/n84c5j7B82HWOzVcTssk1xdv5aBH3y16sNXZCzYimMfXCM5OXWYN/QaTgwchZp89/+AfB/+krwcYkN2xQO6LRhLjqunUU62ADA/8krzCnfHBkZAulK3LsCQP5alTDmwTGS+gtIpL/c7j0Gp2auQB6CHjTg1TvJ+ceFgH1KJ/TcvQytFk0gg72AxN/d3IotkaVofrJeqd92XWGbwgG5iaCBj3efIPTnLxOMyAINVAlKPD1YIDliIiOxocMgPDxwivlM9UHdEiOo9NyYyB3PT1/GmhY+iAqPIOtTZ8mIyNBw/P39X/EJ1xwemOqrzMMakCiQtaalDy+vXZ4a5fH6PDfNuufeFSjBc9CTOx4ePIX17QYgNormr3TN6YHfXwIQExn1n/KsxQtizP1jUgxRFET8/oOVTXri7ZU7zGfyVC9PptYPOL0F+WtzN/RKwa2tB7Cl2wjEMyKcMuTLie+v/ZCQjN8yd9WyGHJxF/mOEhD68xeWNeiGj3dp1XKVSoWcVcrgLZGxMeLmAWQvS1++KAFXVm3Dzj7jmU7UzEXyk5z0hRvXRJ/D68QenmgI9g/A0rqdmdH5amtreJYtinfXuDoNE1+cYx5g5Y6EhAScnbcGB0bMZD7jUbIwyfdXxqs5um5ZIObwREXg+89YXNsLP30/kPXWdrbIXCQfPtzhfgdmfr5JigQrAQkJCTg6cSFOTF3CfMazXHG8JxyNVfp2QrtlU8QcnqgIeOWLxbU7IfjzV7LezjEFXHN64Mvjl/8pV6nVmBf4EI6ESLASEB8fj31Dp+HCog3MZ3JULIV317hcrnVH90HTGSPEHJ6o+PzoOZbW7YyQ77TGgoNLSqR0c8WPZKKYNg72WBD0CDb2dKZbyI9APDpwCvf3nsCbS7c4+yBd4VmmKEq0bojiLevxCsHpi7jYWOzoPRbX1+9mPpO7alm8IfYxzWaNRJ2RPoKNRWr43byPZQ26ISKYDvRJ6ZoW1vZ2nO+AY5pUmPvjPjOoSu6IjY7Gpk5DcG83+8zFOq+0WzEVVXy8xByeqHh14QZWNumJKIauRir3DIiJjET4r9//KU+dJRNmfLzODKoyB5xftB57B0/llHfdtghlOjSVfkAWALBEOFugI2zs7dFzz3JevldNKrJSRGZ0RYE6VTDowg5mhFDw52+IieBGd/589xHf374Xe3iiwc4xBfocWcfL90o5mwHl36IWa1YXA05vYXJ//vT9SDqpPj14hj8BP8QenmhIkcoF/U9tQZGmtZnPsHhclRotoUFZr+boc2QtU5wj4KUvrGy4UQW+1+7hb0io2MMTDSld02LwhR2kICSQ6LChnM2A8n/nlXt3RI89y5nUIl8evyDrXp+/gZioKOINZSC1ewYMvbIHOSuWIuvjY2NJZzOgbJurVCrUHu6NzpvmMQ/ZH+89IaM+lSSmRkHD2Z+1RCGyPjYqGh/v0sI6ShFTo6BSqdB4yhC0WTqZech+f/MB1NbcvwelcfQnR4a8OTHixn5kzJ+LrI8Kj4D/U+6lU0J8PF6evSr28ESDWq1GqwXj0XQm23H87tpdsxTWylK0AIZf309mJQGJUdyBfh855TF/I/Hm8m1mu87p06Fy744YfH4HZn+9jfYrpyFPtXJ6Rz6/v/0I+4ZOwxiPCphdrhnOLVyHIMaFiD6wsrZGx7WzUG9sP+Yzby7dAohvgNL3rtnLlcCwa/uYl4KhP38hhDiXhAf9xoc7j0QenXiwtrVFtx1LUK1/F+YzrPOKUjN3NMhbvTyGXt5NZqIBiZH7kaFcZ3Tw56/49o8QvLnCnCjhzAkWh7MFOkNtZYX2K6ejwcSBzGfu7jiMFY17KEbNXld4li6amH7OuJFnOdmV/oGzsrFB583zecUEKSj9oAYkcvwOu7KbqfzOin5WGi9actg62KPX3hWo2LOdXu8p/W8dSKQQGnR+O5O3nrJ5fGys4nnR7J0c0efoepRq11iv95TI154cJVrWR/9Tm5i89dS3PSo8gumQVQocU7tgwJmtKNy4pl7vKf1wDgDlOreEz+G1TN56jdp7UoT+/IXPD56JPTRR4Zw+HYZc3Im8Nbi0IQCYa7Y5fNur9euM7ruWkpcJABAfy6UHCvT7hB8KDhoAgNSZM2LY1b3IXr4EWc+KVFW6zVUqFeqO6oNOG+YwL5eouX9+9AJ/vik3aABIzK4cfn0fshQrQNZTf+uA7jZ3dnNNdD5f2InZX2+j3YqpyF21rP7O51sPsW/INIzJWh5zyjfHuYXrEPzlm15tJIVKpUKTacPQZskkdgQn8Y17d/0+/v4JIR5WDjLlz4XhN/YjAyP7KC6GztxT+h5OrVaj9eKJaDJ9uF7vvb6g7KABIDGjdvj1fUiXPStZHxfN3ccA5rGH44Nb7uxI55mFU/7i9BVFBw0oHRaHswV6QaVSodGkwWi3YipzQX9x+sq/qsjmhAx5cmD4jf3IVDCPzu9Q6VtKg1qtRsv549B8zmid3/nz7Qe+J0vZUyIyF8mPETcOwDVnNp3fUSLvY3JYWVujw+oZqD9+gM7vfH/tp/iDGgBkL1s8MVokC811SMEcfufWtrboum0Rqg/sqvM7n+4/VXR0twZ5qpXHkMu74OxGR4tQMAeb2zrYw3v/KlTo3kbnd95du2sWWUyFGlTH4PPbkUIP2gBz+Lbbp3RC3+MbULJNQ53feXP5tlkc1Eq2boj+JzeRXNUsmMPv3DFNKgw6uw2FGtbQ+R1zmDcAlO/aGr0ProaNvZ3O77y5rPy5O7u5YsilXbzcxslhyPfN2c0VVXy8MOTiLszyv4W2y/9xPuuZsu9388G/zueF1dvhxsY9Bu8tqvXvgm47FjMvl5IjPjYWvtfvG9SXnJAmSyYMu7qXyW1MwRx+5yqVCvXG9EXHtbN0vvSICo/Ax3tPRR6Z+EifMxuGX9+HzEXy6fwOK2PRXKBSqcgo57DAIHx7/kb6AVkAwOJwtsBAVPHx4k1FTqqKbE7QloqcHO+u3VN8pK8G2lKRk8P3KpcfT4nQloqcHOYyb11SkZPDl+BEVCIy5uNPRU4Oc7G5Wq1Gq4UTeFORkyIhPl6RIksUshYryJuKnBxvr7J5zpUETSpy3TF9dXo+JjIKn+4r/6AGaE9FTg5z+Z3b2NlpTUVOivBfwQh49U7cQUmEvDUqYMilXUjpmlan583F5rYpHND74Gpe4cyk+PXhi1HRpnJC4UY1MfDcdqRI5azT8+ZicwfnlOh3YiOKt2qg0/Nfn742SvDbJUN6VO3zj/P56220XTYFuaqU0cv5nJCQgNcXb2JLtxEY4VYSa9v0xZNj58msEz6UatsYfY9vYIooJoevmaznTmlTY9C57ShYv5pOz3+480jxkb4aVOzRFt77VzJFFJPDXGzukiE9hl7ejdxVy+r0/Lvr98ziApkPlBAwALw1k2+7EmFxOFtgMEq0rI9+J9mpyBpVZH+GMJFSoU8qcujPX2YR6atBuc4t0fvQGmYqclKYi/MR0J6KnBSBfp/w++t3CUYlDbSlIieFOdlcWypyUnx5/NIsIn2B/09F9lo/R6doEaVTSySFtlTkpPhw+5FZRPoCiTZvOn04Wi+eqNPzvmZkc22pyElhTgc1TSpy42nDdHqeElhTKjxKFMKw6/vItNvkMKc1zcraGp02zEWdkb11et6c5p6zQkkMvboXLpnctD5rTvO2sbNDj51LUKWPdoG0hIQEvLshzAWyS4b0qNq3E4Ze2o1Z/v84nyuX1sv5HBMZhft7jmNFo+4YmakMdvabgPe3H+ocxJO/ViUMubQLTunSaH3WnPYxdo4p4HNoDcp2aq712dioaLOI9NWgaNM6GHhmKxxcaP2dpDAnmzu4OKP/yU0o1ryu1mcjfoeYfaQvKyjQnPYxSoPF4WyBUchbnT8V+c/X75hfqZVZbeCA/09FLt+ttdZn31w0r/SVwg1rYNA57anIr84pm9c2OfRJRX5zhS2+okSUbN0Q/U5s1JqK/PKMcoWGKPybitygOu9zCfHxeHdD+SmZSVGhm26pyM/PKJuzPDl0TUWOiYzCx3u0yJpSUX1AV3TfuUTr5dILM/ud65qKHB70GwEvfSUalfhQqVSoP7YfOqyZqfVyydy+7W65PDH8+n6tqcjmFOkLJNq82axRaLlgnNZnX569JsGIpIN7wTwYcWM/3PJk533O/8kroyJ95Qa1lRXaLpuCRlOGaH321Tnhbe6S8R/n8+U9mOV/G22WTkbOSvo5n8MCg3B5+RbMLtsME3JXw7HJi/DD94PW9zxKFsbw6/uQNltm3uf8bj1ETCRX/F2psLKxQaeN81BrWC+tz76+YF5ntVyVy2DolT1wyZie97k3l26ZzQUyANjY26PnnuWo5N1e67OvzIAejA9OaVOTGaq+V++aTda50mBxOFtgNDSpyCzi+ojfIVhcqyMeHzkr8cjEhZW1NbzWzdaainxi+lJER/yVaFTSIEd57anIv/0DcHfXUQlHJT50TUU+Nn6B2aSpaZCvZkWtqcgBr97hhYLV7Snomop8aNQcxMXSwixKRZHGtTDw7DbeVOSPdx7jvYKVzin8m4rcsj7vcwdGzDKrAwugWyry6wvX4W9mETK6piLvHz7D7A4slXq205qK/OjwGfz0+yThqMSHS8bEVORcVcrwPrd/hPnZvObgHui6bRHU1tbMZ+5sP4Rg/wAJRyU+0npkxvBr+5CtdBHe5w6NmSfRiKSBSqVCg/ED0GH1DN7LpWtrd4qqv+OSMT2q9euMYVf2YOaXW2izZJLezuefvh9wbNIiTMhVFXPKN8elFVsRFhjEfN4td3YMv74f7oXzMp+Jj43FiWnL9JmK7KFWq9Fi7hg0nzuG97nzizaY1QULAGQunA/Db+yHW2725VJUeAQuLNog4ajEh9rKCu1XTkeDiQN5nzs9cwUiw8IlGpVpkLNiSU5Z8JdvCPrkb4LRWGBxOFsgCFxzeGDEjf3IUjQ/WR8TGYVVzbxxfcMeiUcmLnRJRf79JQCLanZAeNBv6QYmAf5NRc6bg/nMxo6DcG/PMQlHJT50SUX+4fsByxt0Q2RomIQjEx+6pCKvaNQdT46dl3BU4sPKxgadNsxF7RHezGe+PH6B1c17m93lUs6KpbSmIi+s1g6vLtyQcFTiw8bODj12LeVNRX53/R42dBhoNtQaGmhLRU6IT8C8Ci3gd8s8+Ls10CUV+fnJS9jWa7TZXS5pS0WOj43DnHLN8PnRc4lHJi4cXJwx4NRm3lTkezuPYt/QaWZ3uVSmQ1P0PboOtikcyPrYqGjMKdsMAa/MJ6ofAJzSpcHgCzuRv05l5jNXVm7F0YkLzO6ioVKv9ui1dwXzcikqLAJzyjdH4IfPoo8lVSY3VOvfBcOu7MGMzzfRfO4YvcTPgESxwV19x2NExtJY0aQH7u89TkYqp8rklni5VLk0s62T05fhzLw1es9D7qg9rBe6bFnAvFyKCPqDeZVbmxUVIACky5YFw67thUfJwsxn9g2bjiurtkk4KvGhUqnQaNJgtFsxlXmRExLwE4tqtOe9qFE6claif+vmwtGvNKgSzG01tcCk+BsSilVNe/GqHTedMRx1RvXRW8VY7ri78zA2dByEhHj6J5Uxfy4MOL1FZ4EipSDsVzAW1WiPL49fkvUqlQqtl0xCtX6dpR2YBLi6die29xrNrM9avCD6ndwE5/Q05YxS8efbD8yv0gY/3r4n69VWVui4bhbKd2kl8cjEx7kF67Bv6DRmfY4KJdHn6Ho4aqGcURp+ffyCeZVaIfgznV5ubWuLrtsXoYSWqGClISEhASemLsHRiQuZz+SrVQne+1cy9QyUiu9v/DC3YkuE/aQPJTYO9ui1byUK6ShQpBTEx8fj4MhZOMvjfCjStDa671gCWx30DJSEL09eYn6VNvj7O4Sst3dOCZ/Da5CnajmJRyYu4uPisMNnHK6t3cl8plT7Jui8cS5TLFupeH/7IRbWaI/ocPqy1DFtavQ7sRGepYtKOzCRERsdjc1dh+PujsPMZyp5t0e75VN1FstWCl5fuomldTsjNoq+LHXJmB79T21G5sL6OYCFgP/TV7i97SDubD+M3wZE2Ns7p0SJVvVRumNT5KpcBuokEd3RfyOxrk0/PDl6jvl+zaE90XzO6P+8Zw54dvIiVjTpifgY+rI0jYc7Bp7ZyhsVrEREhoZhReMeeHOJTW/ZcNIgNJgw0Oz8Evf3ncC6Nv2QwLgsdcuTHQNOb0FaD37KGSUi8MNnjPPkigdW8m6PDqtmmGBE/9uwOJwtEBwxkZHY6DUED/adYD5TfWBXtFww3uwW9L1DpuH8wnXM+tRZMmHA6S3IqINAkZIQGRaOoWmLIi6arSRdf1x/NJoyxOwW9C3dh+PGhr3Metec2TDg9Ba4MihnlIqwX8EYnr4EcyMDAM1mjUTtEb3NzuarW/TGwwOnmPWZCuRG/9NbkNo9g4SjEh+/PvpjbDa2cKZKpULb5VNQxUe7QJHSsKhWB15eeo+ShdHvxEZeyhkl4svTV5hWmB39qbayQqcNc1C2UwsJRyUNZpVpig88dDE5K5VGnyNrkSKVeV0uvblyGwuqtGHWW9vaotuOxSjeop6EoxIfCQkJmFKwNr69eMt8Jn+dyui1byXstegZKA0PDpzEmhY+zHrbFA7w3r8SBepWlW5QEiA+Ph7jsldC0Ed2mnWx5nXRbfsi2Nib1+XS9fW7sbXHSGa9g0tK9DmyDrkq81POiIX4uDi8vXIbt7cexIN9Jw3KGEydJRNKd2iCMh2bIVOB3ACAuNhYjHIvg9AfbOqQMl7N0Wn9bJ3EspWEM3NX48CImcx6p3Rp0O/ERmQrxU85ozTERkdjePoS+PuHLe5d2acj2i6dbHaXSwdHz8HpWSuY9S6Z3DDg9Ba4F8wj4ajER0JCAsZkLc/RYMiYPxcmPjcvilclwLy8fRbIAjb29uixaykq+3RkPnNh8UZs7jLM7FIUK/fmJ+sP/vwV8yq2NLu0VHsnR61RbiemLcXOvuPNLkVRm3Ptp+8HzK3QwvzSUtOmRq4qZXmfOThqNg6Nnm1+Nu/bibf+6/M3mFu+hSRpqVIirYc7shQvyKxPSEjAzj7jcWrmcglHJQ34qDUA4OO9J5hXsRX+fPsh0YikQeZCeeGa04NZHx8Xh02dh+Liss0SjkoaVOnD3sMAgO/VO5hfpQ3CfgVLNCJpkKtSaaTkycqJjY7G2lZ9cGMT+6JViVCpVKjcuwPvMy9OX8GiGu3xN4TtuFAiijapzcvbHh3xF8sb9cB9nkASJUKtVqNCd/blCgA8PHAKy+p3NTu6rFLtm/ByeP/9E4rFtb3w7ORFCUf1/1BbWSFPtfLotGEu5ny/hx67l6Fwo5q8Y06O4M9fcXrWSkwpWBvTi9XHuQXrEPYzCGW0XJDe3noAq5p5mx1dljah+7DAICys1g5vzUz43NrWFiW0CL5fWbkNGzoMRHxcnESjkgaVvNvx1v/5+h3zK7UyOxFslUqFHASP87cXb81uz6YEWBzOFogCtZUV2i2fioaTBjGfub31AHb3n2hWzqj0uTx5D2pAotL9kjqd8Z1BR6BUaBPeARIX9ENj5kgwGumQuWh+3oMakMiXtbiWl9mJFeSpqt3mp2ev4r1dVyI8yxTVeugJ+uSPxbW8EPL9p0SjkgZ5qvJfMgDAoTFzcWnFVglGIx1yViyl9Znvb/ywuLYXwoPNS4Antw70Cbv7T8StLfslGI10YHEAJoX/k1dYVr+LWfH1q1Qq5NbybU9ISMDW7iN5Mz2UiJyVtP/OP9x5jJVNepJcsUqF2sqKPJwnRXxsLDa0H4gXZ65INCppwMfrq8HrizextnVfxMWws/iUBlsHe2Qrxea3BRJ5vFe38IHvNdPynto62KNk64boc2QdZn+9jbbLpsCzbDG92vj86AX2DZ2GUZnL4tW5a1qff3r8AjZ1GmJWDkintKn/jfRmISo8AssbdsenB88kGpU00CVS/97uY9juPcas/BJpPTJrpfKM+B2CJXU749tL8wqMYu3h3l2/J/FILLA4nC0QDSqVCg0nDkL7ldOYKfWXV2zl5cZUGlQqlU4HltAfgVhcqyMn1UPJ0MUhAwCnZ63EmbmrRR6NdLCytoZnueJanwv+8i3RAfkjUIJRSYMcOtr80Ji5uLJ6u8ijkQ52jimQtXgBrc/99P2AJXU6mZUCuC7fNwDY3W8C7vBwYyoNKV3T8gqkavD12Wssb9AVUeEREoxKGlBq3xS2dBuBx0fMJ1UxnWcWuGRMr/W5D3ceY1Uzb8RERUkwKmmgy3qeEB+P9e0G4NV5NtWM0uBeKC/snWnhxKR4c+kW1rbpZ1bikbpcsMTFxGBVM2/43bwvwYikQbbSRXWiTnh6/AI2dx1uVpmZuuzhYv5GYnnDbvjy+IUEI9KOlK5pUbVvJ4y8eRCT31xEg4kD4ZqDnYWTHAnx8fjySLe53Nt9DLv6TTArB6S2iyUgkfd4ad3OCHj9ToIRSQNd9zHX1+/GwVGzRB6NdNDVLxH+KxhLanvh18cvEoxKGuRizNv3msXhLDUsDmcLREfl3h3Rc+8KptDKialLcI6H91hp0HVRC/roj8W1vcxGJVaXSF8NDoyYiWvrdok8IunAWtSS4/sbPyyt2xl//9CCTEqDLpG+Guz0GYd7u4+KPCLpoMvhHAC+PH6J5Q27m006bo4Kun3fEhISsKnzUDw9fkHkEUkHXS9Y/G4+wOrm5uOA1PVvPT4uDmtb98XrS2zRYCVB14MaALw6fx0b2g80GwekrvOOjY7GyiY98f72Q5FHJA3UVlbIUV77BTIAPDlyDlu7jzAbB6Sue9foiL9Y1qAb/J++EnlE0sDWwR4eJQvp9Oyd7YewZ+Bks3FA6rp3/fsnFEvqdJJdZqZbLk80mjQYU95ewoibB1Cljxcc06YWtI8rq7bj8Lh5grZpSui6nof+/JWYmfn5q8gjkgZpPTIjdZZMOj17Zs5qnJ69UuQRSQdd967mFhiVsUBupEjlzCl/Z+KMjf9FWBzOFkiC4i3qod+JjbC2o53O+4ZMMxs+QF0XcwAIeOmLpfXMIx1X10hfDbZ7jzEbPkBdF3MA+PzwOVY07oHov8pPx9U10hdIdEBu6DgYz09dEndQEkHXwzmQmL61uqWPWfAB6hrpCySmYK9p6YO3V++IPCppoOvhHABenLmKjV7mkY6ra6QvkJiCvbJxT7PhA9Q1cwdI5Hrd3mu0WTijdI30BRJTsJfV74qvz9+IPCppoM96fmvLAewbMtUsbK5rpC8ARAT/weLaXvjp90nkUUkDXS9YAODSss04Nsk8MjOzly+h87Mh3//JzPQPEHFEhkGlUiF72eJot3wqZn+9jT5H1qFE6wbMM6e+ODVjOc7MWyNIW6aGPnvX4M9fsbhWR4T+ZAssKgn6zP3gqNm4umaHiKORDvrsXX+8fY+ldTqZRWCUWq0mg2Q+3ntqFmdwJcHicLZAMuStUQE9di9jKsBu7T4Sjw6dlnhUwiNzkXywIxTM7VM6kc9/vPfEbPgA9VnUEuLjE/kAz14VcUTSgBXpa+9M2/ztlTtmwweozwVLfGwsVjXvDV8z4M9iRfqyfufPT17Cps5DzcIBqY9DJiYyKpEP8KHy+QBZ86a+9wDwYO9x7PAZp3hnlD6RvsA/6bj1upiFUCpr3raODmT5jY17sX/4DMXbnBXpq1LTx4bwoN9YXNvLLIRSWfsYGwd7svzC4o04MW2pmEOSBKxIXysbOospUZuio1kIpbIullgOy+NTluD84g1iDkkSsDh9beztyOeDPvpjSW0vWYtuWdvaonCjmui5eznmfr8Hr/VzkKdaOSa1o644MHwGrm/YI9AoTQdWpC8rQ/X7az8srdfFLIRSWes5yy+xo/dY3NtzTMwhSQJWpK9dSnrv+vnRCyxv1MMsMjMpCpm4mBh8uPNI+sH8D8PicLZAUhRtUhte62eTdQnx8VjXpj9eXbgh8aiEhZW1NbITkb6x0dHIyBBreH3xJta1G6D4dFyWQ6Zwk1pkeVxMDFY384bfrQdiDkt0sCJ9VSoVXHPS3HJPj53Hlm7KT8dlRQwUYdg85m8kljfoKhs+QEPBivS1S+nIFOi4t+sodpmBUCrLIVOoUQ2yPDIkFEvrdMb3N35iDkt0pPPMApdMbpxyl0xuSOmalnzn2tqdZiGUynLIFKxfjSwPCwwyC6FUVqRv+lye5AEOAM7NX2sWQqnUep4QH498tSuRz//5+h2La3nhT4CyHZAepYqQkb6Zi+SDbQr6ouHohAW4uGyz2EMTHZRDJi4mFrkZYrGBfp8ShVKDfos8MnHBukDOXr4Ekw5w76ApZiGUSjlkYiKjmP8m3168VYxQqoOLMyp0a43BF3Zi+sfraDZrpFbRPD5s7TESp2avVPwejtq3R4VHIFvpIuTzn+4/NYvMTNY+Jn/dKuSFREJCAjZ2HIznpy+LPTRRwYr0jY6IhHvhfOQ7vlfNIzCKFRTle9VCqyElLA5nCyRHuc4t0WrRBLJOwwf44e5jiUclLKjFPDYqGs1mjkC67FnJdx4fOoNtPUcp2gHJ5PSNT0CjKUPIdzTpuP7PXos8OnFBLWp//4Si3fKppJMKAG5vO4i9g6YoevPKOpTYOqZArWG9yDoNH+AP3w8ijkx8UDb/8/U7Om+eD6d0ach3rqzchiPj54s9NFHBulhK5Z4BFXu2I+s0fIBKFkpVqVTkt/3n2/fosXc5k4Lg9KyVOD1nldjDExWsyKBMhfKgVLvGZJ058AGyIn0DXvjC+8AqZtTroTFzcWXVNrGHJypYF0u5KpVC4UY1ybqfvh+wtG5nRQul2jrYw6NUYU55wEtfeO9fxaSd2N1/Im5vPyTy6MQFyyFTpEkt5KlWjqz7+uw1lilcKNUxTSrSEfnjzXt037WUGdm/pdsIPDp8RuzhiQqWQ6Zcl5bwLFOUrPtw5zFWNu2lqMzMNFkyoc5IH4x/ehpjHx5HzaE9mXZlIiEBh0bNxrjslXB+0XrFavCw1vPqA7vCvXBesu7t5dtY11bZQqmsSN/wX8Fou3wK+U5cTAxWN++NdzeULZRKXSwlxMWhwcQBSJ/Lk3zn6fEL2NRlmKL9Eh4lC5GZKr4WHmdJYXE4W2AS1BjYDQ0mDCDrosLCsbReF3x98VbiUQkH1mL+7aUvBp7dBucMrmT9zU37sG/oNMU6IFmRvr7X7qLumL6oPrAr+V5E8B8sUTgfICvSN9DvEwae3QbHNKnI+otLN+HY5EXiDUxksCJ93127h+ZzRqN8t9bke3LmA9QVLJuHBPxE/1ObmfQaJ6cvw7kFyhVKZUX6vrt2D+1XTkPxVg3I94I++WNxrY6KPaQB9OE8ISEB0WER6HtsPTMV+eDIWbi6dqfYwxMN7oXykn/P767dQ5fN81GgXlXyPXMQSqUuWGKjo6G2tkbvA2wH5M4+43F31xGxhycaWJG+7248QI/dy5CrMu2oMgehVOrb/vdPKFwyuqLbjsVMR9XmzkPx5Nh5sYcnGlgXyO9vPYTP4bXwKEVHQL6/9RCrmilbKJXat//2D0CWYvmZmZnxcXFY16YfXl9UbmYmax/z8e5j9DuxiRkR/PrCDUVmZqpUKmQpWgAt541FCcZeRRt+ffiCvYOnYpR7Waxp3RfPT19WFF0a62Lp88MXGHB6C1xz0JmZShdK5eP0Lde5JRpPG0a+Fx3xNzEz88lLsYcoGlgXS9+ev8XAs1uRyj0DWX93x2HsHjBJsX4JGzs7ZCtdlFPud+OBon6zSofF4WyBydBw0mBU7deZrAv/FYwltb3w6+MXiUclDDzLFCMjfd9duwfX7Fkx8MxWZjruhUUbcHL6MrGHKBqojUxE8B98f/UOLReMR9lOzcn3/nz7oWg+QNZBzffaPWTKnwv9Tm5icqQdn7wYF5ZsFHN4ooJyyAR98kfw56/osHoGijWvS77368MX2fMB8oEV6et77S48ShSCz5G1bKHUodNwY6My+QBZkb5fn73G35AwdNu2EPkZafcBr94pWiiVdTj3vXYXuSqVRq99K+ksDyTyASpVKFVtZYXsRKTvx7tPEB8XB+99K5nfwM8PnyfyASo0HZdl83fX7qJA3arounUBOx3Xawienbwo9hBFAYvT1+/GfVjb2qDPkXXIWrwg+a7ShVJZDhnfa/dQomV9dFg9g6yPj4vD2lZ98PbKbTGHJxpYkb5vr96FnZMj+p/YiAz5cpLvvjyrbKFU1nr+7to9lO/SCi0XjCPrY6OisULBQqlpsrqTNGC+1+7BMU0qDDizFWmzZSbffXzojKKFUnMyLs10jXyOjY7Gg73HsbRuZ4zLXhlHJy5QBI89K9LX99pduGRIj4FntzGFgm9tOYC9g5WbmUlF+sbHxuL9nUeoN6YvagzuTr4X8TsES+p0ws93H8UeoihgRfq+u3YXaT0yJwZGpU1Nvnt5+RYcnahcoVRqDxcZGqboCwSlweJwtsBkUKlUaL14Ikq1b0LW//YPSEzH/f5T4pEZD9sUDvAowT2I+V67i/j4eLgXyot+JzYy+QCPjJ+PSyu2ij1MUcCK7va9egdqtRpe6+egcGM6HTfQ7xOW1OmE8GDlpeOyIn01PFGepYvC5/BaJh/gnoGTcWvrAVHHKBZYqde+1+7Bytoa3XYsRt4aFchnvr14i+UNuiIyLFzMIYoCVqSvxuZ5qpbjF0rtMQoPD54SdYxigRUt8e76PVjb2sL7wGqSyx5QtlAqi9NXY/NCDaqjy+b5tANS4UKplM1jo6Px4e4T2KZwQN9j65G5iPnxAWYrXZSM9H37j81LtmmEdiunke/Gx8ZidQsfxQqlUuv53z+h+PrsNRxcnNH/1Ga45clOvqtkoVTmBfLVOwCAij3aovmc0eQzMZFRWN6oh2KFUimb//n6Hb8+fIFTujQYeGYr0mR1J99VslAqcx/zj81rDu6B+uP6k89EhYVjSd3O+PZSeUKpLFHYby/eIuxXMFJlcsOgc9uZmZk3Nu7F/mHTzcrmlbzbo9WiCchUMI/ObQV98sfxKUswPntlLK7thXu7j8o24p8v0jc64i/SeWbhz8xcsgknpi4ReZTigI/TV6VSocW8sSjXpSX5jEYo9ffX72IOURSwIn3f3XiAuNhYZMyXE/1PbmKKYJ+YugTnF60XeZTigO2XsNBqSAWLw9kCk0KtVqPLpnko1KA6Wf/j7XvF8gFS0RIRwX8Q8M+GNHu5Euh9cDWbD7DfBNzZcVjUMYoBvkhfIFFUsefuZUwRGv+nr7BcoXyArEhfjXBW3hoV0H3XEjYfYNfheHzkrKhjFAN8kb5A4kan96E1TEGS97cfKTIdly/SV3NpUrRJbXTaQIvGJcTHY33bAXh1/rqo4xQDfFGfQCK9Tt/jG+FeiOYDfH3xJta17a+4dFwWp+/Hu0/+daCXbt8EbZZOJt+Pi4nBqqa94HdTeXyA2myeIpVLYjpuzmzkc0+PncfmrsMVl47LF+mrcaZW9u6ApjOGk+8rWSiVL9IXSLxoHXhmq9kJpfJF+mrmUnu4N+qM8iHfV7JQqrb1PHXmjBh4ditSpk9HPndt7U4cGk1TUMgZabK6I3WWTJxyzd86ADSaMgRV+niR7ys5M5MZ3f3PRZlrDg8MOL2FLZS6YB1OzVSeUCor0vfzw+eoMbAbxj85hZG3DiJ9rmw6t5mQkICXZ69iXdv+GJWpDHYPnCTLSEq+SF8AyFQgN/qd2MjMzDw6caEihVL5In2BRL9Ex7WzUKRpbfL9wPefEwOjFCiUSopFhoXD/8krAEC2UkXQhyczc+/gqbi5eZ+oYxQD2csVJ4NAkn7bLRAXFoezBSaHlY0Neu5dweQD/PzoBVY06qE4PkDWjZrfzQf//nf+2pXRbfsiZjrups5D8fSEstJxWZG+SedtY28Pn8NrkbUE9xCveXZ1c2/FpeOyoiX8bj3897+LNauLjmtnkc/Fx8Vhbeu+eH3ppijjEwusSN/3SWxu7+SIfic2IWP+XGQbr85dw4b2AxXngGRFS3y4/f82L9uphVahVM0mXylgRfom/Z07pk50QDKFUg+fxdYeIxXngGRF+n5++Pzf/6/atxNTKDU64i+WNeimOKFUVqSv383//1t3dnPFwLNbmUKpd7Yfwp6BkxXngGRF+ga8evfv/9cZ1cfshFJZF8hJf+dpsrpj4NmtZieUyor0TSp82nTGCFTqxS+UGvT5q2hjFAPMfUwSm7vlzo4BpzezhVJnr1KkUCor0lfDQa9SqdBm6WSzE0rVxeaZC+dD3+MbmUKph8fOxeWVysrMZEX6frr/DLHR0VCpVPAsUwwTn59FwfrV9G4/POg3Li7ZhGlF6mFmqca4smqbbPQMWHvXpPt2zzLF0PvQGmZmphKFUpmcvrce/bsvsbK2Ro+dS5CnenmyDY1QqtIyM3XxS+SpVp4/M7P7SMUJpaZI5UKKYSb9W7dAXFgczhbIArYO9uhzZB2yFOMKzgGJkRVrWvVRVDpujvIlyPLPj/4b5VSiVQO0Z/EBxsZiTYveePtPSp9SkJ2Ye6Dfp/9stBycU6L/yU2kcxoAXpy5io1egxWVjkvNGwC+JLN5hW6t0XI+mw9wZeOe+Hj/qeDjEwsqlYr8e//6/O1/Lg2c0qbm5QN8eOAUdvQeqyhnlK6/c16h1PAILFOYUKraygrZyxbllH95/PI/9nPJqIUPcPN+xQmlUlzGANfm9cf1R/VB3chnlSiUautgT4rCJp93umz86biXlm1WnFAq69uedO4qlQrN54xGhe5tyGeVKJTqmCYVydmbfE3LkDen2Qml6rKeq1QqtFsxDSVas4VSl9T2UpRQapqs7qSAVHKbZylawOyEUlnr+ZfH/x+hqlar0WXzfKYDUpOZKRfHoi7IWCA3+dtNbvMc5fkzM3f1naA4oVTqdx4XE4NvSfZjVjY26LVvJXJVKWNwPx/vPcEOn3EYkbE0NnYagjeXb5l03+NRshBpx+Treb6aFdF9JzszU4lCqVSWWmRIKALf/z//to29PXwOreEVSl3dvLeiMjNZNHfJbV60SW2zE0qlfufBX74pVkNIabA4nC2QDf7lA8xN8wE+O3ExkQ9QIdFwKV3T6rRpB4BKPduh2exRZDsxkVFY3rC7ovgAWRcHX/5J29EgpWtaDODhA7y/5zh29lEOH2C67FnJTXvyxRwAag7pgXpj+5HtRIaGYWndzgh4pRw+QMrmcTEx/1LIaJDaPQMGnt0GZzc6Hff6+t04MGKmYmyesUAuUiSO+p3zCqUG/caS2l6KEJzRgLL53z+h+PXhvynFrtmzYsCZrUiR2oVsR2lCqVmK5ifLk9tcpVKh5fxxKNu5Bfm8EoVSKZsHf/7K2bT/K5TK4AM8Pnkxzi/eIMoYxUBW1ppG2LzD6hko1qIe+bwShVIpmwe8escRgfQoUQh9jq4zG6FU1j4m+XqutrJC163ahVL/hoQKPkaxQM3d/8krTgCAVqFU7zG4v/e4KGMUA7ra3MrGBr32rmBSzihNKFWtViMzsa5Re9cCdaqg67aFvEKpSsrMzFKMXs+Tz10TGMUSStUVMX8jcXvrASyo2hYTclfDqZnLTcIJbGNnh4z5qctELv1HseZaMjMVJpTKPKMms7l9SiftQqkdlRMYlSKVC9J5ZuGUU+eVcp1botXC8WQ7ShRK1dXmFogDi8PZAlnBOX06DDizhckHeHfnEexWEB8g5Zj48vgl6TSvM6I3ao/wJttRGh8gyyGTNOVcgzRZMiXyAbqmJd+5umYnDo2hOXDlBrVaTYpmUfMGgMZTh6Jy7w5kXVhgUGI67j/8z3IHdVgBgE/E3NPnzIYBZ7bCwYVOxz07bw1Oz14p6PjEAmvT/vkhdxOjEUot3aEp2ZbShFJZNv/8iGtz94J5tAulLt8i6PjEQopULmSU/ifC5mq1Gl7rZqNIk1pkW4F+n7C4tpdi+ABZNqc27Z6li8KHJx1376ApuLVlv6DjEwups2QiL0yob7vaygrdti9C3poVyba+vXiLZfW7IDI0TPBxigFqPY+Pi8NXghImd5Wy6LV3hVkIpWbIk510nlM2NzehVMrmUeER+PnuI6e8UIPq6LqFIZSakIANHQbhxZkrooxTaLgXzkvOg7K5bQoH9Dm6jl8oVUGZmZTNQwJ+4k8A90K0ZOuGaL9qOtlOfGws1rT0+ZfzW+7IUpRxyUDY3ME5Ja9QKgDYpaQvWSn89P2AQ2PmYkzW8ljeqDseHTot6d8LtZ7/ePuepIqo0K01ms8dQ7bzr1DqA2UERjH3roTN/xVK9WAIpe47ge0Kysyk5u7/9BVJZ1hjUHfUH8/IzFSYUCrLL0GdUS0QHhaHswWyQ1qPzLx8gJdXbMXRCQskHpVhoG7UosLCyU07ADSbNQoVerQl6zR8gEn5A+UK1gacdZPoljt7Yjouiw9w1kqcmbtasPGJCcrmrE27SqVC22VTULJtI7ItJfEB6hoBqIE2PsBDo+fgyurtgo1PTFA2Z23a1Wo1Om+ci0INa5Bt/fT9gCV1OilCKJUZDUY4XgEge9ni6H1oDTsdV0FCqdTcvzI27VbW1uixaynyVCtHtvX12Wssb9hNEUKpukYAaqBVKLXbCEUIpapUKnLunx+9IA+aNnZ26H1wNTzLFCXb+3DnsWKEUvW1eeFGNdFp41yyTklCqVY2NqToKWtN0yaU+ubSLaxt008ROgXsbzt9OC/VrgnaLp9C1sXFxGBVM29FCKXaOzkifS5PTjnL5lqFUo9fwKYuwxSRmcmK9GXNvVKv9mg6cwRZF/M3EssbdlOEUKpLxvRkxh1r3v8KpRICkwAQFRqOIk1qoWznFswL9uSIj4vD02PnsaqZN0ZnKYf9I2Yi4PU77S8aCep3npCQ8K+IXHLUHtYLdUf3IesiQ0KxtK4yAqPS58xGiiGy1rREodRtTKHU6+t24eAoOgJcbqBsHhsV/R89iqRoNHkwqvTtRNaF/wrG4lodFSGUmqlgHvIi3BLhLA0sDmcLZAltfIAnpi1VBDecPtFgwD/puKumo3grNh/g0npdZO+YsE/pRG7AWYs5AGQtXhB9j65j8gEeGDFTEdxwTJs/plWq1VZW6LJ5PgrUq0rWf3/jhxWNusveMeGcwZXcjPHZPGeFkuh9YBXTAbnTZxyeHr8g2BjFAnVznpCQgK9P6U27lY0Neu5ZzhRK/fL4JVY37y17x0T6nNnIAxXfBi5/rUrotmMx0wG5qfNQvLl8S7AxigXK5jGRUfj+5j35vEYo1aNkYbLe7+YDrG83QPaOCfeCeUjb8dm8WLO68FrHL5T64e5jwcYoFiibh/8Kxm8GJ7O9kyP6Ht+ITAVyk/Wvzl/Hlm4jZB8Zpe8FMgCU9WqO1osnknWx0dFY2bSXIjjrqfU88P1n5oWgRijVNYcHWf/kyDnsHjBJyCGKAnb2CtvmVXy80HjaMLJOI5SqBM76zEW5f+/J9SiSQiOUSlHoAcDdHYdxWAFZeobYvM5IH9QaTmdm/v0TiiV1O5uELkJf0HQiL5nfZm1CqY8Pn4Vb7uyY/e0OOqyegWylaR5gCiHfA3F27mpMylsDcyu2xI2Ne0Q78zGzUXls3mT6cFTybk/Whf78hcUKoIxSW1mRInJ8a5pbLk8MOL2ZmZl5Zs5qRWTp6UoJp4FKpUKbJZNQqn0Tsv63f0AiZ73MKaNsHexJzSiLw1kaWBzOFsgWHiUKwefIWiYf4O5+E2V/SNWHWkKDRD7ABchXi+YD/PrsNbb1HCX7QyoZAfjsDXPTDgC5KpdBT7503O4j8fX5G8HGKAYMsbm1rS28960k1bKBxGi4PQMnCzI+saBSqZCFOKh9YUQAalCgblV03bqAzQfYcZDsD6lsOhH2RkabUOrrizdxeCwdJSgXsDbtfH/rAFCiZX104BFKXdu6n+yF1fRJydTAPqUTr1Dqk6PncGrmCkHGJxZsUziQ49dm8/Jd+YVS17TsI3thNUNsrk0o9e6Ow7i0bLMg4xMLLD0KbTavPqArGkwcSNZFhYVjdXNv2R9SmYdzxgUyoF0o9crKbbi5eZ8g4xMLabNlJjPOtNm83pi+qDG4O1kXEfwHa1r0lj2vMWXz5CJyyZEuWxYMOLOVKZR6evYqPDwgbyqZTAVy0yJyPDZXqVRoPnsUWyg14CfWtOrDu++XAyibJxeRS44MeXJgwOktzMCoI+Pm4f2th6jUqz1G3T6M8U9Po/qgbnBMm1rncb27fg9buo3AyIylsa3XaLy//VDQsx/rMlGbzdstn4qSbRqS9UEf/bGhw0DZ8xpT63nwl2+8+5BEodQNzMzMPYOm4N0NeWdyGLKPUavV6LJpHgo1qE7WB7x6p4zLc2LulB6FBcLD4nC2QNbIU7UceuxeRjogY6OjsbqFj6wPqWk9s9Cbdi03ajZ2dvA+sAqeZYuR9Xd3HsHFpZuEGKJoYG3ak4vIJUfhhjXQefN8si464i9WN+8t60OqPiJySWGbwgF9j61nbgCvrt6BG5v2CjJGsaCriFxylGzTCO1WTCXrIn6HyP6Qqm/EgAbahFLPzFkt+0MqKSKnZdMOABV7tEXzOaPJutAfgVjbuq+sD6mGCpA4pUvDK5R6dPx82fOdGrpp5xNKDfrkj/Xt5X1I1ZdaQoNUmdx4hVL3DpkG3+v3jB6fmNBVRC45Gk4chGr9u5B131/7YUvX4bI+pBpq83SeWXiFUnf0Hkty3csFarWaeYHMB5VKhRbzxqJcl5Zk/edHL2QvBG2ozbUJpW7uMkwSmgRDYW1rq7OIXFJoE0r1u3Ef+4fTF8xygaHredbiBZlCqQkJCVjffuC/dAPuBfOg9cIJmOV/Cz33LEf+OpXJQAsKkaFhuLZ2J2aXbYapherg/KL1CA82nnZNHxG5pFBbWaHLlgUoULcKWf/i9BUcm7zY6PGJCUN/5zkrlmIKpcbHxmJNqz6y1mFJnTkjeemhbd6azMyclejMzIf7T+Ls/LWCjFEsUDZn6VFYICwsDmcLZI+iTWqj0wY6HS3481dZH1L1FZFLCnsnR/TjScfdN3S6rA+pLD44XQj6y3RoijZL6Yje72/8sLnLMNkeWPQRkUuOf/kAGem4O33G4dND+YpyGHJzrkHl3h3RZPpw+v1HL7DDR76iHCwROV3m7Zw+HQae3coUSpX7IdWQCEANag/3Rp2Rvck6uR9SU2fOSEaz6WJzPqHU5IdUOcKYTXvjqUNR2acjWffy7FUcm7TI2OGJBn1E5JKDTyg1Maq/L8nzLxewROR++H7gfU+lUqHVogko07EZWf/wwClZH1L1EZHjvFswD/qf3ETSDsVERmF1Cx9BnEZigVrPQ74Hav07VavV6Lh2FlMo9eamfbgmY0o8Y/YxnqWLwufwWlIoNTI0DGta+JDaDnKBPnoUSaFNKPXikk24u1O++gzG2FwjlEpRTYX/Csaaln3+IxZqY2eHEq0aYMCpLZj+4RoaTR7MFKSj8PX5G+wdPBWj3Mtga4+R+Hj/qc7vUmCKyGkRL7S2tUWvfSuZQqknpi7Bk2PnjRqbmDAkG1WDQvWroesWOjDqz9fvWNe2v2wp8RKzUblz15aNCvwTGHV0HfPf7tCo2Xh96aYg4xQDxtjcAuNgcThboAiU7dQCtUfQPGEvz17F0YkLJR6R7qAcrywRueRwTJMKPofXIkUqZ05dfGws1rbqI9tDKkv5WVe+pGr9OjN5wh4dPC1rEUFDN+1AIh+gz+G1zEPqGhkfUg2NGNCg7ug+KNWuMVl3a/N+XF2zw+CxiQ0yApAhIpccabK6w/vAKuYhdXXz3rI9pLJsrqvyc5MZI5gCinI+pOorIpccbrmzo8ceOnuHOqTKCYbwPmqg4QPMXbUsWX9i2lI8OXrOmOGJBn1F5JIjc+F86LptEVkn90OqoRGAwD8OyHWz4FGK5jE9OHKWbA+p+orIJYdnmWJM/vJAv0/Y5DVYtrzt+goHJoWVtTW6blvEDJjY3X+SbCnxXDKkh3MGV065rjbPW708Wi+h+cu/Pn8ja0o8yvnIJyKXFDZ2dui5ZznSZc9K1m/tMQr+Mo0k1FdELjkKN6qJZrNGknUf7z1hUuKlyeqOBhMGYprfVQw8uw0l2zQk94EUYv5G4vr63ZhZshFmlWmCm5v3GZQJyBSRe61d/M/OMQV6H1wNl0xuZP0mr8GypcRjicjpavNS7Zqg/rj+ZN2bS7dwaIx8KfEom4cH/Ubw569a33VwcUbvQ2vIKOn4uDisa9NftpR4hvDUWyAMLA5nCxSDJtOHI0+1cmTdyenLZHtINTTdXgPXHB7ospV2qP/59gPr2vTTehNtCrCUn/W5SWy9eCLzkHpo9By8unDD4PGJCZaInC6bdiCRS89r/WyyLvD9Z2zsOEiWh1SWiJyuNlepVOi4dhbzkLpnwGS8v/PImCGKBsrmfMrPyZGtVBG0WTqJrPv24i229Rgpy0OqscrParUaXbcuUOQhldq8hv8KRvCXbzq9n6dqOTSdOYKs4zukmhrGRolYWVujx66lzEPqRq/BWiNnTQV9ReSSo3DDGsxD6tvLt3FotDzFxYyJAAT+oQnbt4I8pCbEx8v8kEqLyOkq5FuqXRNUG9CFrHt6/AJOzVhuzPBEg7F7V3snR3gfWEVy3MqdEo+a++dHL3Xed1Xq1R5lO7cg6+7tOipbSrysRlwyAImimd77V5Li39ERf7GmhQ/+/gkxaoxiwFA9iqSoNawXijWvS9ZdXbMTNzbuYfevViNfzYrosWsZZn29jdaLJ5LjYeHDncfY3GUYRmcui/3DZ+Dnu486v2vseu7s5opee1eQFBMRv0Owurk3oiP+6jweqcASkdPH5g0nDUL+2rTe0tm5q/Fg/0mDxycmjHW8pvXIjO47FpPZP3KmxHNKmxqps2TilFsinMWHxeFsgWJgZW2N7juXMJWg5XpINTbqE/jnkDp+AFn39sodHFTQIZVP+Tk5tB1S17ftr7NzR0oIYfNSbRuj+sCuZN2zExdxctpSg8YmJtRWViSFjD4qwHaOKXgPqXIVFzMmAlCDij3boXzXVmTdvd3HcGHJRoPGJiaEUH5OkcoFvQ+sYh5SVzfvLctDqhA2N+aQaio4pUtDUsDoM2++Q+rfP6FY3aK3LA+pTJvrQCGjAe8hdd4a3N93wqCxiYl0BupRJEWarO7ovnMJ+5AqU3ExkkImNpZXRC45WswdwxQFPjphAZ6fvmzw+MRCxvy5aBE5PWzuljs7Om+eR9YFf/6Kde0GyJISj7J5ZIh2PQoNVCoV2q+cznTmyZUSjykip4fNsxQtgParppN139/4YbNMedspm//2D0Doz186va9SqdBp41ymJsfOPuN1osRzSpsa1Qd0xbhHJzH67hFU7t2B/PZSCA/6jbPz1mB8zipYWq8znhw9p/X3JcQ+Jkf5Emi1gBYF/vL4JXbIlLedmvv313467z0SqWQWMzU5tnQdLktKPCFsnr92ZTSaOpSs87txH/uHyZMSj8o610WPwgLjYHE4W6AoJB5Sl5ObYLkeUlmbdn0+7ADQcOJA5K9Tmaw7N3+tLA+pLOVnXTftQOIhtceupSQ/WujPX7JUwGZt2vW1Od8h9dikRXh+6pK+QxMdhig/J4cSD6lCpGqpVCq0XT6VuRncP2wGfK/dNWh8YkII5efMRfKjw2p6g/rj7XtskiFvuzHUEhr8e0jNQx9Sd/iMw6cH8uNtJ3kf9dy05yhfAq0Wjifr/J+8wvbe8uNtF8LmaisrdNuxhMnbuaXrcAS84hfXlRqJvI/GXSYCQP5aldiH1JsPZHlINTbSF0jkO+25ZzmZ9ZWQkIAN7Qci8MNng8coBqxtbZGpQC5OuS56FElRrFldJiXeq3PXZEmJx1rP9bG5rYM9eu1fpShKPAcXZ4NE5JKjXOeWqNy7A1knV0o8ps31uEx0cE4J7wOrSHqOfynxgn7r1JZKpYJHycJov3I65ny7gy5bFiBXZVqwjcLzU5exonEPjMteGadmLkfIj0DyuVTuGQwSkUuOqv06o1T7JmSdXCnxSAqZ+Hi9suqc0qVBr30rFEWJ55bbkwzw0JUKT4O6o/ugcKOaZN3FpZtwZ4f8KPGo9Tw64q8sAxbNCRaHswWKQ/ZyyjqkspSf9d20/3uTynNI/fZSXodUYzgAkyJfzYpozDikvr/1EHuHTNN7bGLCGBG5pLCysUGvvSuYh9T1MjykCuGQARIPqSxBuVfnruHIhAV6j01MGCMilxS2DvbotW8lUqR24dTJVVyM2rQbovxctlMLpqDc40NncGbOKoPGJxbc8mQnN+362jzxkLqaPKTGRkVjdYveOh9SpQL1bddFRC45qvbtxDyk3t56AFdWbTNkeKLBGBG5pHBKmxre+1aSh9SosHCskuEhlSki902/75G2Q+rt7YcMGZ5oYNOJ6Lempcrkhh67GbztQb9lydtOzf2n7wdEhobp1Y42SrzHR84aND6xIJS4lGv2rGzedplS4jH1KPQcZ6tFE5CttHIo8YSyuVZKPAN4221TOKCsV3MMvbwHE56dQZW+ncgsQApBn/xxaMxcjM5cDuvbD4Dvtbv/OSOzROQ+P3yu11lapVKh45qZyFQwD1kvR0o8oWyerVQRtFlGU6DJkRLPytoamYzQo9BArVajy5b5TKH7bT3lR4lnLD2YBYbB4nC2QJGo0seLqXoux0OqMSJySfHvIdWOPqSubtFb74OAmBCSoL/OKB8UbkwfUi8v34Lb2w7q3aaYMEZELilcMqZHzz3LyUNqRPAfrGnhI6tDqhB0Iho0njYMeaqXJ+tOzVguq0MqS0ROF+Xn5HDNnhXdti8iHVtyPKQay/uYFK0WjodnmaJk3aExc2V1SBVq0w4AmfLnYh5Sf334gg0y420XIuoT0OGQOnAK3t9+qPf4xIKxInJJ4VGyMNoun0LWBbz0xdbuI2R1SGV/2/X7nWs7pG7vNRr+T3XTO5ACLBE5Q9a03FXKovmc0WTdp/tPsXuAvHjbKZsnJCTgi456FBpYWVuj+66lTEq8TZ2GyCrCzNVIEbmkKNSgOhpMUA4lHrVv11VELils7OzQa+8KOKVLw6mTIyWesSJySVGyTSNUH9SNrDOWEi9Tgdxot2wKZvnfQvuV00ghWwpxMTG4u/MI5lVqhWlF6uHKqm3/nhep33lE8B+dROSSws4xBbz3ryQpQDSUeLpSlEgBITIZNKjYoy3Kd2tN1smREi8rQS3x68MXvUXpU6T6h7fdwZ5TJ0dKPCHoRCzQHxaHswWKhEqlQofVM5gL7Z6BU+B364HEo2LDGOXn5PAoWRhtl7EPqVu6y+cmlan8bIAjSq1Wo8tmnpvUXqPx5YnuqW9iw1gRuaTIVbkM+5D64Bl29aMV0U0B5qbdAJtr520fgu9v3+vdrlggReR0VH5OjoL1qqE+3yF1FO2cNAWEvFiysbNDTy2H1CAD/j3FAvU710dELin4DqnPT17CialL9G5TLAiVvQIk4W0nDqlxMTFY07IPMx3YFDBWRC4p+A6p9/ccx/lF6/VuUyywo8H0/52nSOUC7wOrmIfUVXI7pBJz//LohUGXQDUGd0fxlvXJumtrd+L6+t16tykWhLpYAgDn9OnQa98KNiVec/lQ4qnVargT1GiGRsE1mKCFEm/vcYPaFQNCftv/5W1nUeK19DHouykGhBCRS4oWc0YjZ8VSZN2xSYvw7ORFg9rVwD6lEyr37ohxj09i2NW9KNWuMfnbouD/9BV2+IzDKPey2NlvAhzTcSk1AP0pFoBESrwuPJR462VEiSekiJxKpULbZVN4KfHeXr2jd7tigU0ho/+3XSslXuehsgmYSOuRmaQ5skQ4iwuLw9kCxcI2hQO8D6yCg4v8D6nMCEADb9Qq9miLCt3bkHUP9h7H+YXyOKSylJ8NvUnkO6TG/I3E6ua9DXL0iAGhb1FrDO6O4q0akHXX1+/GtXW7DGpXaAghIpcUfIfUyJBQrGnhg6jwCIPaFhpCRncDiYfUAvWqknXnFqzDvT3HDGpXaLA27YbaPE2WTLy87Wtb9ZHNIZUSIAH0431MCr5D6vHJi40+pAqFtNkyk2uvoX/rbrk80WXLfLIu+Ms3rG83QO/sELEghIhcUrRdNgVZixck6w4Mn4m3V24b1K7QEEJELikyF86HjmtmknU/fT/I6pBKisiFhuHXe/0prVQqFTptmEOukwCws+94fLz/VO92xYAQInJJkb1scbRaNIGs83/6Ctu9x8gmYMJYEbmkUBIlnpCXDEAiJV6TaQxKvNuPsE9GlHjGisglhZWNTSJvO5EdkZCQgA0dBiHQgO9HcqhUKuSsWArddyzBzM830GT6cKaIXXJEhobh8vItOMQIYDDU5kWb1kGdUT5k3avz13FkPL3WmwLUHu6LgSJytg728N6/ip8ST08KKrEg9Bm1rFdzVOnjRdY9PnxWNpR4KpWKdLZ/fqh/NqoFusPicLZA0UifMxu6bKG5XH/7B2B92/6yOKQyN+1G3Ki1XTYZWUsUIusOjJDPIZVa1PQVkUsK3kPqu4/Y1Ekeh1SheaJUKhU6rZ+NDPm4fOAAsKvfBHy898SgtoUGU0TOwOglbYfUHTLhbReKD04DtVqNbtsWkXzgALC12whZH1K/PH5pcCRL3hoV0GT6MLJOTodUoW0u1SHVWIixaS/apDbqju5D1r2+cEM2h1QhI30BjbjYSpIDPj4uDmvb9JPFIZUtImf4PqZMx2aKOKSy1nNDIgCBxOhE7wOrYefkyKmLjYrGmpY+CPsVbFDbQsLBxRnpsmfllBtj8yo+HdmUeNsO4vJKeVDiCaVHoYFT2tTw3r+KpsQLj8Dq5t6yoMRL5Z6BzDAyxua1R/qgSJNaZN3lFVtxa+sBg9sWEkwROQMpfrRS4rX00UtcWRuc3VxRb0xfTPO7gj5H1qFA3SpGtWeMzRtPHYq8NSqQdadmrsCjw2cMbltIUL/zmL+R+P7GsOzJdJ5ZmJR4IQE/sVYmlHjuhYTRo0iKlgvGMSnxDo+dh1fnrxvctpCgfuehP3/JYp9lrrA4nC1QPIo0roW6Y/qSda8v3sSRcXRqj5QQSvk5KWzs7dFr3wr2IbV1X/z++t3g9oWCkOn2GpTp2AxV+nYi654cPYfTs1Ya3LZQYIrIGTFv+5RO6H1gFfOQulomh1QhlJ+To4pPR5Txak7W3d52EJdXbDW4baHAFJEzwuaOaVIp4pBK2dxY5ec6I31QpGltsk4uh9RMrE27ETbXdkhd3aK3oIdUQ0Ed1EJ/BCIk4KfBbfIdUk/PWolHh04b3LZQEJL3UYN02fgPqWta9ZHFIVUoEbmkaLVwPDzLFiPr5HJIFTrqEwAy5suJThto/t5fH75gY8dBskg9p+b+9dlrg/8e/6XEI7LfAGDvIHlQ4olhc48ShdBu+VSyLuDVO2zpZnreduZlogF6FBr8S4mXMxtZv917jCwo8YS+ZACAXJVKo/lcPko8OpjCGKitrFC4UU30P7kZU95eQq1hvcjziDa8OHMVL85eNSiIR0OJlzpzRrJ+U6ehsqDEY6/nhjteC9arhgYTB5J1vlfv4MDIWQa3LRTsHFMgfW6uHoUxf+s2dnbotW8lUrqm5dQlxMdjnUwo8cT4nVvAD4vD2QKzQOMpQ5C3ZkWy7vTsVXh48JTEI+JCKBG5pOA9pH4PxNrWfU1+SBWaTkSDVgvGMQ+pR8bPx4uzV41q31gIKSKXFBny5kSnjXPJuqCP/tjQYaDJD6ksmxtzUFOpVOiwajr7kDp4Kvxu3je4fSEgpIhcUmQtXhDtVtARvXI5pDKpJYy0eZdN80iRNuCfQ6oBfHNCwt7Jkdy0G2vzXJVKo8W8MWTd54fPsavveBnYXBgRuaRQW1nxH1I7D8P3N/qJVwkNIUXkkqJA3apoOGkQWffu+j3sH0Fn9kgJZhquAXoUGljb2qLX3hWyPqSyROSM/Z2XaNUANYf0IOuen7qM4zLgbadsboiIXFLYpnCA9355U+JlKphbMBG5pKjQvQ0q9GhL1j3Yd0IWlHhCicglhYOLM3rLnBJPjMtEAKgxqDtKtKYp8W5s2CMqJV76nNnQYu4YzPxyC503zUO20kV0fjfmbySW1PbCpLw1cG7hOr0F5VK6ppU9JZ7QVHga1B8/gEmJd37hellQ4lFz//bC1yjKutSZM6I7gxIvLDBIFpR4FuFA6WFxOFtgFlBbWaH7jsUkjygAbJbBIZWp/GyAiFxSaD2kDqeJ/KUCc9NuJEG/tkPq+nYDEPTJ36g+jIWQInJJUaJlfdQc2pOse3H6Co5NXmxU+8ZCaDoRDbQeUlv1Nfkhlbo5N0T5OTkqdGuNij3bkXUP9p3AuQXrjGrfWGQpKpzQUFI4uDjDe/9K2KZw4NTF/I3E6hY+Jj+kkhGABorIJUX1gd1Qsk1Dsu7Gxr0m520XmlpCA22H1NVyOKQyROSMvQSoN64/CtavRtZdWLQBd3cdMap9YyE0hYwG2g6pphYXY4nIGUqpkRTNZo1Ersqlybrjkxfj6QnT8raLtZ7LnRLPxt6epDATQlyq7dJJsqbEY/3Ojf17dy+UFx3X0tGdcqDEE1JELilUKhW81s9hU+L1FZ8Sz9bBHuU6t8So24cx+t5RVOjehnT+U/jx9j32DZmGUe5lsKX7CL045j3LFEPrxfLlbWeLyBm3j9GFEu+rgboPQoH6ncfHxuLbc+PGlbd6eTSdMZyse3/7EfYOprM8pELGfDlhbcvNGrUIB4oHi8PZArOB5pBKfUQiQ8Owunlvkx5SWRs4Yx3OgJZD6uKNJj2k2tjTInLfBZh36swZ0WM3fUgN/xWM1S1Ne5Mqps2bzRqJXFXKkHUnpi7Bk2Pnje7DUDilTU1GKAox7/Q5s6Hr1oVknRwOqazD+ffXxs+9zZKJzEPqwZGz8ObyLaP7MBQsETkhbC73Qypl8/jYWAT6Gce1rFKp0HEdm7d9d7+J+HD3sVF9GAOWiJwQNvcsUwxtlkwk674+e41tvUab9JBK2TwyNMxoGiu1Wo2uWxeSFFwAsK3HKHx9/saoPowBS49CCJvzHVI/3Hls8kMqtZ7/+fodf0NCjWrXysYGPXYvg0vG9GT9xg4D8dPvk1F9GAMx9zFyp8Sj5v7j7Qej9xhyp8Rj7mMEsHmZDk1RtV9nsk4OlHiUzQNevTN6vbF3cmRT4kVHY3ULH4O1bfSFR4lC8Fo3G7P8b6PVwvHMLLLkiPkbiRsb9mBmyUaYWboJbmzaqxO9V+XeHVG2E02Jd2f7IZNS4qlUKvIyUYjvmy6UeMauH8aA9TsXYu61R/RmUuJdWbkNt7bsN7oPQ2FlY4OMhB6FEPO2gIbF4WyBWcGzdFG0Zh1Sn7/Btp6jTHZIdWMokv80guNUA7Vaja7bFpHiLgCwtftIkx5Sqbn/8P0oiC3yVCuPZrNGknUf7z7GnoGTje7DULBU6H/4fjS6bStra/TcvQwumdzI+k1eg/HznfH9GArK5j8FmDcAFG5UE/XG9iPrXl+8icNjacoRKcCyuRBzt7G3hzefuFjrfgj2DzC6H0OgUqnglic7p1wom5du3wTV+nch654cPYdTM1cI0o8hYNv8g9Ftaw6p9imdOHWx0dFY07KPZIfU5LCysYFrDu6aI8S8AaCSdweU7dyCrLu74zAuLdssSD+GQEybO6ZJhV77V5J88ImH1N4mO6Q6uDiTjlGhbF57RG8UbVaHrLuychtubt4nSD+GgGlzAdZZlwz/8LZbW3PqIn6HYI0JedtTuWcg6USEsrlWSrwDpqPEo/Yx8bGxCPpkPMVLumxZ0G3HYiYl3ppWfRAbHW10P4YgfU4PMpBDiL0rALScPxbZyxUn646Mm4cXZ64I0o8hoGz+908owgXQR8mQNyc6b6IvUYI+SU+J55jaBTUGdcekV+fhfWC1Xu9+vPsYW7oOxyj3Mtg3bDrvd1ClUqH9yunMC8s9g6bg3Q3TUeJR3/bgz18F+eZmLV4Q7VfSlHjfX/uZlBJPzH2MLpR4xtCvGQtq7j/ffTRp8Io5w+JwtsDsUKlXe/YhdecR3NiwR+IRJSJdtswktcSPtx8Ead8xtQu8GYfU6Ii/WGNC3qT0OT04ZZEhoQj9+UuQ9msN64VizeuSdVdX78D9vccF6UdfuBLzBhLT04SAs5sreu1dwTykrjNhtC9l8+Av3xAd8VeQ9htNHox8tSqRdWfmrMbz05cF6UdfUPMGhLN5Wo/M6L5zCXlIDf0RiE1eg022eaUEgYTcwLWYN4Z5SD06fj58r98TpB99wRJCEurbzsvb/skfW7qb7sBCzV2oeatUKrRfMY15SN07ZJrJDixi2zxrsYJoxzqkvvHDrr7CC03pCrFt3nnjXOYhdUfvsSYTmmKv5x8EaT9nxVJs3vZHL0xGj6ZSqci5CzVvtZUVeuxcwqbE6zocwV++CdKXvhB7PS9QpwoaTh5M1vnduI9jkxYJ0o++sLa1RVoPd065UPO2trVFz70rkDJ9Ok5dQkICNnQYJNj5QF+IbfPiLeqh1rBeZN2LM1dxZq5+jl8hoFarUaxZHYOEBSOC/+Dc/LWYkKsqVjbtiTeXb5H7ET5KvPjYWKxr089kF6ms9TxQoMyS8l3ZlHgP95/ElVXbBOlHX6TOnJHMChfq2+7g4gzvA6toSrzIKKxt3c9kF6mUzWP+RuKPCTNLzBkWh7MFZgfNTSorDXDf0GkmSVWzsrEhuZyE+rADiTyq7VdNJ+sCXvri5PTlgvWlD1iHRyEPqZ02zoVbbm6EJQDs6jcRYQJEJ+iLFKlc4JQuDaf8p4A2z1G+BFotGEfWfbz3BOcXbRCsL33AsrlQUdca3vY0WbmHIgDY3msMIkPDBOlLH6TKnJG89BHyd56/dmU0mjKErHt98abJuH3T58rGKYuJjMJvgZwF2g6p23qMREyk9JtX1xziHlCBfw6pw73JuidHzuG+iQRoKJuHBQYJxqutOaRSHIvxsbHY2n2kSS7VqHkDwtq8fJdWqOTdnqy7ve2gybh9qbn/+vBFsGhMbYfUbT1HmSQKSex9DABUH9AVJds2IusuL9+Ct1fvCNaXPqDm/uPtB8EuupzSpWFT4oWEYkfvsSa5VJPC5vXG9kOhBtXJujNzVuPTw2eC9aUPqN+5kPNO7Z4BPXYvJQNxwgKDsGfQFMH60gfsb/sHwfpoOnMEclctS9Ydm7QIAQJQsBkCau62KXTjeU5ISMDjw2exoGpbzCjRELe27OesCa45PNB12yLy/eAv33Bw1Gx9hywIpFjP2yyZCI+Shcm6AyNmmURzSG1lhXRElpqQ83YvmAde62hKvB9v3+P45EWC9aUPpLC5Bf8Pi8PZArOErYM9ejEOqX//hGJnn3Em2rxm45QJlZaoQbnOLVG5dwey7tTMFfjy5KWg/ekC1oddyLk7OKeE94FVZOpn6I9A7BtiGv5HctMusM2r9uuMUu2bkHVHx88XvD9dwFzMBRwL3yE16JM/Do2RnlpDrVaTDkihUlE1qDumLwo1rEHW7R82wyTUGszDuYBz5zukBrx6hxPTlgnWl66wdbAno/OEtnnTGcOZh9Td/SeZhFqD/W0Xbu58h9RPD56ZRDAzpWta2DtzI7WEnDcAtF48ER6lipB1O3qPNUlEGGXzhPh4/PrwRbA++A6pby/fxrU1OwTrS1ekzZaZzCYSch+jUqnQce0sZCqQm6zf1mOUSS7VKJtHhYUjVECRXs/SRdFm6SSy7unxC7hnAi0SVlS7kDZXq9XosnUhSYkXHxeHrd1GIC4mRrD+dIUrsZ7/+fpdUC2cPFXLoSmDEu/ujsMm0SKRYh9jZW2NHruWkpR4sVHR2NZDPpdq8bHxGPf4JKr260xSe1H4/PA5NnUeijEeFXBi2tL/RKsXblgD9ccPIN+7snKbSbRIpLD5v7ztaVNz6qLCwrHdZJdq2ThlQu9dS7VrgmoDupB1Z+et1UuEUiiwz6imo6I0Z1gczhaYLVyzZ0XnzfPJuseHz+LBvhMSj4hO4fjz7Qciw8IF7afVoglM9VlTRISJnX6sQaYCuZkR3re2HMDzU5cE7U8XUItaoN9nQW2gUqnQcc1MMsI7JjIKW3uMlHzzKpXNs5UqgpaMCO/Ly7fA99pdQfvTBdQh9efb94JuJhPFxRaQjs7IkFDs9JH+Uk3sVFQN8lQth8ZT6Qjv07NXmYRmgZq70PPWHFJTuqbl1IX+/GUSUTX271zYuRdqUB11RvmQdccmLsT3N36C9qcNKpVK9AhAALCxs4P3vhWkczv481ccGj1H0P50gVTf9lLtmqCyT0ey7sCIWQj6bDyPrj6wsrYWPUsNSORtZ3F4f3/jh+NTlgjany6QyuYVe7ZD6Q5NybrdAyZLTrPg4JySzKgRet6OqV3Qax9Nj/b50Qucnb9W0P50AWs9F1obpNbQnijcqCZZZ4pLNZdMbrBx4Eb1Cr2mObu5oufuZSQ9mu+1u7iyarug/ekCau8aGx0Ne2cntF06GbO+3kb7VdPhXjivTu2FBPzEkfHzMSZreWzt+f+Ctw0nDkSeauXId7b2GCU5zYJr9iykHX4KbPO0HpnRdesCsu75yUu4s+OwoP3pgvTEtz38VzDCg4XJUtOgxdwx5OV5fFwctnaX/lKNmjcg/LfdgkRYHM4WmDWKNK7FjPw0Bc2CFJG+QOIh1WvDHDIK8OO9Jzi/cL2g/WmDS8b0ZOSxGKkrpTs0ZUZ+bvceKznNAnVQi4uJEUR0JinsHFPAaz2djvb28m1cW7tT0P60IV32LLTojAiLeWWfjshVuTSnPCEhAVtNQLNARUtE/A4RRHQmKVKkcmFesDw5eg73dh8VtD9tkCL9WINaw72RtXhBTrmpLtWob3vwp6+C/+05u7kyowBNQbMgRfqxBg0nDiSFXhIv1aSPCCMvGXw/CD6ONFndmdy+l1dsxdsrtwXtTxvcJExFbT57FEmbFBkaZppLNQkuGQAgQ54caDR1KFl3Zs5qfHogLc2CVOnHKpUKrRdPJJ28YYFBJhGBlsrmWYsVRN3Rfcg6U9AsSLWeq1QqtF81neT2/e0fgAMjZgranzYws9REsHnOiqWYkZ8HR87Cr4/CZY3oAm02t3dyRGXvDhj36CSGXduHUu2bwMrGRmu7MZFRuL5uF6YUrI3Ftb3w4swVdFgzk3Ts//T9gGOTFho1D31hY8/IUhPB5gXrVUO5Li3Juj0DJyNEwKwRXSDVt93a1hadNswh/16+PH6J03Ok5S53TJuazIK3UGqIA4vD2QKzR+tFE0ge3dAfgZJHhEl5OM9arCBqj6A5P49OWCCp8I7YojPJ+2q/chqZ+hX0yR8HJY4Ik5InKmfFUqjStxNZd2D4TEmFd2zs7JAmK7WBE37earUaHdfOoiPCXvvh+NSlgvfJByltXqh+NZTp2Iysk5pmwTFNKlJ0Rox5W1lbo9OGOWRE2KcHz3BO4ogwKv04ISEBP/0+C95XidYNUbgxIyLMe4ykEWFpsmQSVXQmKWzs7dFx3Ww6IuzqHVxdLW1EGHU4F0t0pmKPtrKJCJMq2hUA7FM6ocNq+lLt6fELuLtTWpoF6tse+iNQlN9cjUHdSM5PU0SESbl3dUqbGm2X0Y7luzuP4MnRc4L3yQcyS+29sFlqGtQb2xcZ8uXklMdGRWNrd2kz1aTcx6TK5IaW8+lMtaurd+D1pZuC98kH1iWDGBdcjacNIzMnosLCJecu1/V3rlKpkLNCSXTfvhgzPl1H/fEDyHM2hZdnr2JZ/a5Y0ag7k7v87Ly1+HjviT5DNxpSXSwBQMv54+Dsxr1UC/8VjD0DJonSJwtSBoq4F8yDumPoS7UTU5bg20tfwftkQaVSkft2ITWWLPh/WBzOFpg9UrqmRZslE8m621sP4NlJ6SLCmEJqInHsNpgwgEmzILXwDjX3n74fRdlMpc6cEc3njibrpBbeYdtcHJ6oZjNH0DQLoWEm2LzSNhcDbrmzM9Xez0hMsyA1N1irheNJmgVTCO/QPPXizDtzkfyoM7I3WXdUYpoFqbJXgMSNcrsV02iaBYmFd5iiMyKtaTkrlETVfp3JOqmFd6TgqddApVIxI8KkFt6xc0xBco+KtY8pULcqynZqTtbtHjBJUpoFKddzK2treK2fzaZZmLdG8D5ZcHZzhZ2TI6dcrDWteMv6KNK0Nlm3w2cc/v4JEaVfCjSvbSyCPgr/rbGxs0On9fSl2rvr93Bl5TbB+2QhbbbMZJakWOt5+W6tkad6ebJuW8/RiI74K0q/FKhve2RIqCgX+PZOjuiwho7ifn7qMm5vOyh4nyywLhP5vu0uGdKj8ZQhmPHpBrzWzWbyzydHwKt3eLDvBPk3lhAfjy0yuFQL/vJNlMtcxzSp0HY5HfB2b/cxPDp8RvA+WZBy7woAdUf3If9GYqOjsbX7CMTHxYnSLwXyvPLuo0n4080dFoezBf8TKNm2sSxoFtJ6uJOLq1i3qDb29rKhWaAinCNDwwQVnUmKij3bIVeVMmSdlMI7UvHaaqAtIkxK4R3K5r/9A0Q7ONQc0oOmWYiLw5ZuIySjWZAyAhBIFE9k0Szc2X4IT49fEKVfCtTcxdzA1R/Xj6RZiI2KlpRmQWo+uNTuGZg0C1dWbpOUZoGau5g8eE1mDCdpFqQW3pEy6hNI/HduzKBZkFp4h+Ys/yBafy0XjCdpFsJ/BUtKsyD1ep65cD42zcLkxQh4JU1EmEqlIucuNMdp0v7aLZ/KplkYSQtKigGWcKBYNs9ergSbZmHUbMloFqxtbZHGg/udFWveGsFMFs3C0UmLROmXgpRRnwCQv1YllO/aiqzbO2gKQr7/FKXf5HBM7UKK2ukyb1sHe1To3gbjn57GgDNbUbB+NZ36ZDkY/Z+8kpRmgelsF5izXIPiLeqhWPO6ZN3OPuMR8VtYDmUWUmXOCGs7abLUgH8oPxmXan43H+Dyiq2i9EuBWtNiIqPw2wSi6+YOi8PZgv8J/EuzwBDekYpmwcrGBmk9s3DKxTyoyYVmQeoNHC/NgoTCOw4uzmT0qZg2L1ivGsp4sSLCpBPekTICEOCnWfj88LlkEWGp3DOQf3dicoPx0ixIKLxD2Tw2KhrBIgl8JV6qzTE5zYJrjqzkGMS0uVxoFiibiyE6o4G9kyM6rmVEhEkovCP1xRIAVB/YVRbCO9R6/uujP2Kjo0XpTy40C1LvY4BEmoWM+XNxyqW+VKPSj8WiGQDkQ7Mg9cUSIB+aBSlpBoBEsfcm04eRdefmS0ezIPUlAwC0mD8OzhlcOeXhQb+xW0KaBdrmus9bpVIhf61K6Hd8Iya9PIfKvTuQlwi64MSUJfj64q1B7+oLKSlkNGi7bArJI/zn63ccGCHNpRqbs1y8eXuWKYbqg7qRdYdGz0HgB+Gp6CiYYj3/X4XF4WzB/wxSZ86IFjKgWSAXc5EccBo0mzmCKbwj1eZVaucjALjl8uQX3nkojfCOq4Q0AxrIgWZBajoRIJFmoe4oH7JOKuEdtVpNR/qKOO/ESzVaeEdKmgVT2DxH+RKo2t+0NAss0Rmxbc6KCJOSZkHqlEwAyF+7ssmFd5zSpSF/b2LO28raGp0YNAtfHr/EmbnSXKpRNk+Ij0fge/EOisVb1kfRZnXIuu29x0pCs5DGw538txdzH8MXESYlzQJl86jwCFGjL8t3a428NSqQdVLRLDCzV0S0eeKlGu1wkpJmgVrP/3z7gajwCNH6rD6gKzzLFOWUJ8THY0u3EaJdaiWFKfYxjqld0I5Bs3B/z3E8OnRatL6Tgpp7oN9ng6gOMuTNifYrp2Pm55toOmM4ScXEh9joaCxv0BXhwb/17ltfmMLmLhnTo+XC8WTdtbU78erCDdH6TgopqfA0aDx1KNJl59KxRYVHYIf3GJP6JcTcw/2vwuJwtuB/ChV6tEXuqmXJOqloFqjNa0jAT1FpPeRAsyB1yrkGvMI73aSJCCMXc79PolI8OKVNjTasiLAdh/Hk2HnR+tZA6vRjDerx0CxskygijBbJfC/qJipVJje0mDeWrJOKZsEUkUEA0GT6cDL9V0qaBamEUf/TZw4PNJlGR4RJRbNgikhfQIvwjgQ0CyqVijykij1v90J5UY8hvHNcIpoFU9icj2YhMSKMjnoXElbW1kgncZYaAGQvWxzVBnYl66SiWWCv5x9E61PDXW6bwoFTJxXNgn1KJ/I7I7bN89WsiPLdWpN1UtEssNZzMR0yaisreK2fAysbG06d/9NXOCMBzUKqTG7k35zY+5hizeuiWIt6ZJ1UNAvU7zwuJgZBnwzPUnNKmxp1R/fFjA/X0G37YvJMxsKvD18wMmNp7Bk8RdQLzXSemRlZah9E6xMAynVuiXy1KpF123qOkuRSjVrPw4N+Izzot2h92jmmYF6qvThzFbe27Betbw1MtXf9X4TF4WzB/xTkQLNgikhfQJvwjvg0C84ZGKIzIn/YtQrvzF8rav+AtKIzSVGiVQMUaVKLrJOCZiFd9qxQqbnLjNg2T4wIY9AsXLuLK6vEp1mgbP73jziiM0lRoXsbk9IsmCpFzd7JER1ZwjsS0SyQojOfv4p+kVl9YFdkK206mgVTpKICWoR3dh3F4yNnRe0fYEUGfRD9UqvuGAbNQnQ0tnQfKXr/prK5S8b0aLmAjgi7umYnXl8UPyKMtLkEB9QmJqZZMNW3XQ40C6a4WAKAFvPGmpRmgWXz7yLPPVOB3Kg/rh9Zd2LqUtFpFlQqlUkukAGg7bLJSJHahVP+59sP7B8u/qWamN92KxsblG7fBKPuHMawa/tQrEU98oyQHLFR0biwaAPG56yC1S16w/faXcG/dzb29kidlZulJvaalnipNgN2jik4dYF+n3BkwgJR+wdMt57nrV4eFXq0Jev2Dp6KPwE/RO3fKW1q8rcm9rz/F2FxOFvwP4f0ObOZlGbBFHxwGrCEd6SgWZBadCYpeIV3JKBZMFWkr0qlQrsV05jCOwdFFt6xtrVFWglFZ5KCj2bh4EjxaRZM9Ts3Nc2CMaIzxsLUNAvU4TwhIQE/330StV++iDApaBZSZ8kkqehMUvAJ7+zwGSc6zQIVISOF6IyNnR06baAv1fxu3BddeMdUGUsAUL5rK5PSLFDf9tCfv0T/W+OLCJOCZsFUTgkAqNa/i0lpFqi5/3r/WfTLPMfULmi3wnQ0C8yUcwlsXmeUDzIVzMMpj42OxrYeIw2ieNAHLDFcsS92XDKkRysGzcL1dbvw6vx1UfuX4mJJpVIhZ4WS8N63ElN9L6PG4O6wT+mk9b2E+Hg8PHAK8yq1wqzSTXB7+yFBf/umulhKly0LmswYTtadX7ge7+88ErV/U3IZt5g7Gi4Z03PKI4L/YHf/SaL3LzVP/f8qLA5nC/4nYUqaBVPwRGnAK7wjAc0CKTrj+1GSdPd6Y/siQ76cnHIpaBaYi7kENucT3rmyarvowjs0Z7n48wZMS7NgSm4wU9MsmIKnXgNemgWRI8JMlb0CAO4F86AuD83Ct5fi0SywRGek4sHjE94ROyLMlL9zXuGdUbNFFd6xTeGAVO4ZOOVS7GN4aRbefcTRiQtF7d+U67kpaRZSpk9HOoWksLk2moXTs1eJ2j/1O4+Pi8MvkbPUAKBYs7oo3rI+WSc2zUK6bJmhtrLilEvxt25ta5vIXU5EwPrdfICLyzaL2j9l88jQMElEt8t2aoH8tdk0C2JyaDNp0URa09J5ZkGrBeMx88tNtFo0gYzop/Dx3hNs7DgIYz0r4eSM5Qj7FWz0WCib//YPkITWomrfTsherjinPCE+Hlu7jxT1Us2Ue9cUqVzQbuU0su7BvhN4eOCUqP1T6/nPdx8lE+P9X4HF4WzB/yS00izMEy8ijCk6I1EKR/GW9VGkaW2ybofIwjtUpG9UWLgkXHQ2dnboxBDe8b12V1ThHVNGBgGJwjt5qpcn68SOCKMiAP98/S7qhlkDrTQL2w+J1rcpIwABfpqFLd2Gi3upRsw98N0n0SOSAC00C7uP4dHhM6L1bWo+uLqj+yBTgdyc8tjoaGztPkLUf39TpR8DGpoF+lJNbOEdU2YsAf8I7xCcwlII77B46qUAL83CgnX4cPexeH2bKGNJAz6ahV0iRoSxaQakmbcpaRbY33Zp5t5m6SQ2zcKwGaL1a2VjQ9K4SPV98yxdFDUGdyfrDo+ZKyqnrymjPlUqFdqvZtAsvP+MI+Pni9Z3ilQucEqXhlMuNm2Qg3NK1BjYDbO+3ELeWhV1fu/P1+84PHYuRmcph+29xxilYcDat/98J82lWsd1s2Fty80W+/rsNU7NXCFa36ncM5BUo1L9zos2qY0SrRuQdTv7jEN4sHiXatSaFhsVjd9fvonW5/8iLA5nC/5nwUuzIKLwjqlEZzTgE9757R+AAyLSLJj6cJ69XAlUG9CFrBNTeMdUojMa8NEsiC28Y2oVYK00CyJddrhkcmPSWkgB3oiwJ69wWkThHcrmsdHRCPpsuOiMPuCjWRAzIsw1exbyQkuK9GNAw13OjggTk2aBOpyLLTqTFOW6tDKJ8I4pnRKAaYV3qLkHffqKmKgo0fpMimr9u8CzbDFOudgRYaa2OR/NwoO9x/HwoHgRYTRnuTRZakAizYJ7obyc8riYGFEv1Uy9d+WlWVi/W1SaBTrlXDqO08ZThpAZNNERf7Gt12jR/vZMHSiSLlsWNJ05gqy7sGgD/G49EK1vU9IMqK2s0GvPcrhkctPrvZi/kbi6egcm5auJpfW74MWZK3r/bZj6d54pfy7UH9+frDs5fTn8n70WpV9WlpqU1BJtlkyCY5pUnPKQ74HYP5SOgBYCpl7P/1dgcThb8D+NemMZwjtR0dgqIs0CS2hIKqTK5MYW3lm9QzSaBTadyAdR+qPQZPpwkwjvkGk7ElFLAKYT3jFl+rEGLReMl1x4R61W0xyAEs7bvWAe1Bvbl6w7MWWJaDQL7EsG6ebedjmbZuHACHEu1ZiiMxLO27NMMdRg0SyMniMazYIpUzIB0wnvMEVnJFzT8taogArd25B1YgrvUDZPiI/HLxGjDpNCc6lGRYT5P32F07NWitJvmqyZyIs8KfcxxZrVRfFWrIiw8aJFhFHreVR4BEICxM9SA/hpFt7feigazQIrwlnKNa1spxbIX6cyWScmzQJl85CAn4gMCxelv+SwTeGAjmvpTLVX567h5qa9ovRrSvpDDar08UL28iU45QkJCdjafaRol3vUtz3w/WfExcaK0l9ypEjlgvYMmgVd8PzkJSyp0wnTitbDnR2HdR63qfcxAFBnZG+4F5b+Us3VxH4JZzdXtF48kay7sXEvXpy9Kkq/crD5/wIsDmcL/qfxb0QYEZX27vo90WgWqBSOkO+B+BsSKkp/FEwhvMNORf0geF8smEp4h5q7lBs4AKg+gKZZEFN4x9Tpx8A/EWEMmgUxhXdYNANSRYMB/9AsMIR3xNq8mjr9GEiMCGvJiAgTk2aBJTQkJRpNGYJ02bNyysWkWTA1hQxgOuEd6u9d7PTj5Ggxb4zkwjtysHmm/LlQj0WzMG0Zvj5/I3ifps5S06Atg2YhJOAnDgwXh2ZBDut5tlJFUHNID7JOLJoFeydH8tJaynmrVCp0MAHNAsvmUjqj8lQrj0q92pF1+4ZMw59vwl+qOWdwJf+tpbS52soKXgyahW8v3opGs0CtaXExMQj6JE2WGgAUaVwLJds0JOsoXnEK/k9eYUOHgZiQqyouLd+i9Vyb1jMLeZkl5bfdysYGnTbMJcfx4c5jXFiyUZR+qfU8IviPINzYuqJ0h6YoUK8qWbe912hRLrnksI/5X4DF4WzB/zyyly2OagO7knVi0SzI4eacV3hHJJoFZzdX2Dk5csql/rCbQniHsnl8bCx+fRCHxoOCNuGdMyLQLKSTwQYOAIo1r4tiLeqRdWLRLJCiMyGhkojOaKBNeEcMmgVTpyVqUK5zS8lpFqi5B3/+iui/kYL3xYIpaBZMnX6sgSmEd1gimVKKzqRIxUOzIJLwjlx+53VG9pacZkEOyvbObq5ovWgCWScWzYJc0o8bTR4sOc0CNXep553WIzOazhpJ1olFsyCX33nzOaNJmoWI3yHY1Y/+HRgDNmf5B8H74kPGfDlRf8IAsu7UjBXwf/pK8D7lsp63XkLTLMTHxSFfrYrMiP/k+PXhC3b1m4Cx2SrixPRlzAwQGzs7pKGy1CSet0eJQqg1rCdZd3jsPPz0+yR4n3KwuUqlQodV00k/wa8PX3Bk3DzB+3RMk4r8G5Pa5uYOi8PZAgsANJk2jEmzIEZ0kGsObvQZkMihLCW00Sx8efJS0P5UKhU5d6nnDfAL7+wbOl3w/uRic16ahalLBU8jsra1JTdwprB522WTaZqFbz9waMxcwfujDsSA9HP3LF2Ul2bh99fvgvaXIpULuYGTet7aaBaOT10ieJ/pGDYXIwKLD3mrl0eFHm3Jur2DpwrOrZwqc0YyCuu3v7B/W9qgTXjn3Py1gvdJ/c5jo6IRIRF/tQZFm9Zh0yz0HS94dJBcvm+8NAu3H+HKqu2C95mOWM/DAoMk46/WoIxXczbNQq/Rgl+wyGUfo41mQQxBYNbeVcqMJSCRZiFHhZKc8oSEBGzvNUbwCxa5/M4dXJzRYRW9N3944BQeHzkreJ/U3KVe0wCgzghvJs3CdhGyltg2l3buzunTMWkWXp69hjqjfDDh+VlU7NmOFL1LjtCfv3Bk3DyMyVoe+4ZNRzDxNywXmzecNJiMNI/5G4mdfWiRZGMgF5unyeqOZrNHkXUXl2zCx/tPBe+T2rebwubmDIvD2QILwB8R9uToOfheuytof6kYYghCO350QbX+XeBZpiinPCE+HodGzxG8PypCwRTz5hPeubP9ED4/ei5ofywBjD8mmDsfzYIYaZnU3P98ldYBB2ihWVizE98FvtFm21z6ufPRLByfsljw/uRicz6ahQuLNpAHDmPA+rab4nfeYu5oJs3CKYH5bdVqNXmBZ4p58wnvnJq1SvAU0VSZuP/GgGnWNT6ahQuLNgjal20KB1p82ATz5qNZOD5lieDOdubvXOKLJV6aBb9PuLp6h6D9pUyfjkxnN4XN+WgWDo+bJ7jzn1rTYiKjEPE7RNB+tEGtVsNr3Swmd7nQtHCsfcxvE6znhRvVRMm2jci6Q6PnCO5sp+Ye+iMQcTExgvajDXw0C343HwhOCyen8wofzcLBkbOQMV9OdFwzEzM/30TjacPIPU9yRIWF49z8tRjnWQlbuo9AwKv/1zOh967fJb9YsnWwh9c6Rqba6SuC08LJyeaVe3dAzoqlOOUJCQk4OGq24P1RezhTzNucYXE4W2DBP+CjWTgwcpagiw3zwy7xYQXgp1l4duIi3l65LWh/1EEt5NtPyRdz4B/hnZb1yTqhI17ZB1RpxHaSgi8i7N6uo/j08Jmg/VFzN8XfOsCmWYiPi8NRgZ3tcnFKAPyXatfX7cb3N36C9kdu4ExkcxbNQkxkFI5PFtbZ7sJwPppi7ilSuaAdQ3jn0tJNCP7yTdD+qLmbyua1GRFhkSGhgovJyWk956NZODN3DcICgwTtjzycm8jmLJqF0B+BOL9wvaB9sWweYoK589EsnJi6FJGhYYL1xbxYMpHNWTQLQR/9BY9sl9N6niFvTjSYOJCsOzphIWIihaNwsndyhH1KJ065Kf7WAaD14olwTJuaU/7txVvc2npA0L5Yl4kh3wMF7UcXaKNZEFIPxtktHaltZIq/dT6ahQ93HuPRwURnu1O6NKg/th+mf7iGThvmwC1Pdq1tx8XE4MaGPZicvxZWt+iN93cekTaPjvgr6HdUV+SuUhaVe3cg6w6Omi3ouZn1t24Sv4RajY7rZsHajnup9urcNbw8d03Q/qg1JOR7oGgCjf+LsDicLbAgCVrMHUOm3PvduI+nx84L1o9j2tRQW1tzyk0RAQgAmQrkRs2hdHSQ0IsadfscGx2NCJFU1bWhzZJJJI/185OX8ObyLcH6Yd26m+qg5lm6KCp5tyfrhI5sp+YeFhgkCp+qNqhUKrRfOY38/d3bfUzQdC252Txv9fIo3aEppzw+Lk7wyHZnYu6/TRAlAiReqnVYPYM8QN3YsAcBr98J1hfL5qaIAASAok1qo3CjmpzymMgoHBPa2U7M3VR/69a2tmi/kk6/vrh0E4I+Cyd+JLffeRmv5shVuTSnPDIkVHCRKWruISa4RAUSI67bLptM1p2du0ZQ7ny2zU0z9yp9vJC1eEFOeejPX8I726nfuYn2rg4uzmjFyFo6OW2ZoE4ips1N9G2vPbwX6VQL+iS8s11O33bn9OnQjHHBIrSzndrHAKabe8NJg5E6c0ZOecBLX9zaIpyz3craGinTp+WUm2reabK6o+GkQWTdoTFz/uNst7a1RfmurTHxxTl4H1hFCqUnR0JCAh4eOIXZZZriAUPvwFRzbzZrJHnB8vHuY0G1GeydU8LGwZ5Tbqq9a4Y8OVBnZG+yTgq/REJ8PEJ/SKe3Y+6wOJwtsCAJHNOkQp1RPmSdkOlaarUaLjKKEgEShXeoVFy/mw8E5UZjbeBMtai5ZEyP6gx+24MCRrbbpnCAvbM80o81aDBhAOlsf3H6Cl5fFC5dyyUj928dSEzzNgVcc3hI4mxPmT4tGUVuylStxlOHktkM9/ccF93ZHvM3EpEhoYL1oQ/cC+VF6Y7NOOXxcXE4Mk44ZzvLKWGqaDAAaDJjONvZniSV1FhQcw/9Hiho5JU+yFG+BIo0qcUpj42KxjEBRXHZjijT2FylUjE5EC8t24KgT/6C9UXN3ZRrWv46VZC7allOeWRoGE7OWC5YP3K7WFKr1Wg6cwRZd0YCZ7sp967FW9ZH1hKFOOVhgUE4KyBnO2sfY6q5W9nYoPE0WoPl5PTl+CvgWutMzN2Uv/NyXVoiQ94cnPLgz19xecU2wfqR2+/c1sGe6Xg9NnGhoOLE9MWS6Wxeta8XUmfh6sF8f+2Hm5v2ccrVajWKNauLkbcOYfDFnShQt4pO/fxkiEKaau4OLs5M3Z3DY+cKtr9SqVSMC2TTfdtrDu0Jp3RpOOWf7j/Fg30nBOtHbkED5giLw9kCC5KhWv8uZHrF1+dvBBUikVP6MZCYfl13dB+y7vCYuYI52+WUtqNBnRHepMjZ+9uP8PjwGcH6oeZuysXcJUN61BjcnawT8gZZTinnGjQY35/kvXx59ipenb8uSB9qKys4u6XjlJty3uk8szBT9IR0tssp/ViDRlMGk872B/tO4MPdx4L0YZ/Sify7MuW83QvmQZlOzTnlCfHxOCyks52weUJCgkmjRJpMH05e+tzctA/fXgrjbJdT+rEG2csWR5GmtTnlsdECO9sJm0eFhZsk/Rj4x9nOiH68smIbfn38Ikg/clzT8tWqhDzVy3PKo8LChXW2U/uYgJ+Ij48XrA99oFarmTY/N38dQn4IQ38gR5sXb1EPHiULc8rDAoMEFUilqfBMN28ra2s0mU5rM5ycsRx//wjDq83ax5hy7mU7t6Cd7V++4fKKrYL1Q9MlmSZIBABs7O3RaPIgsu7YpEVMZ7tKpUKequXQ/+RmjH14HCXbNiL3BNrw66NwWVH6oopPR6TJ6s4pZznbDQVNf2g6mzs4p0S9cf3IusNj5wnGpS7Hb7u5weJwtsCCZLBN4YCGDG60IxMWCCZEIrfbYwCo2q8zUrln4JQLyY0mt7REIPEGuQ7D2X5ojHA3yHKLBgMS0zIpZ3tSbjRjIbcoESCR65TpbB89RzhnO2lz025i6o3tK7qznZ3JYEJne7YsqOwjrrNdpVIx6ERMa/NGkweTIlMP95/E+zuPBOlDjt/2TAVyoyzL2T5WGJ5+KxsbOLkS6ccm/rYzne2b9+Pri7eC9CG3qE8A8CxTDEWb1eGUx0ZH4+jEhYL0kSKVM8kvaUqbq1QqZpSzoM524nceHxeHMAGjqPVFvpoVkbdGBU55VFg4Tk5fJkgfFHc1YHqb8zrbvwvjLCLFZ3+HCBpRqy+KNqtD0iWE/wrG2XnCONvZe1d5OttPCehsZ2UymIIWTYMyXs2RIV9OTvlv/wBcWrZZ6/tZihZAj51LMeXNRVT26Uh+w1nY3X8iTs1aIdi/rz6wsbdHQwOc7fqCRYVnSlTu3QFpPLjO9h9v3+PGxr2C9MHax5h67uYEi8PZAgsIlO/WGm65CW40AYVI5EhSz5+utUgQbjS53iRW69eJyY12Wyhnu8xuj4FEZ3vdMeKma7Ftbtq51xreS3RuNPJ3buK/dWc3V9E52+UY4QwA9cb2I8VnXp2/LpgQidwyGYBEYbHKfTqSdYcEs7n8sleAf5ztxMHy0cHTeH/7oSB9yEkkU4NM+XOhXOcWnHIhne1y/Z2znO23txyA/7PXRrevUqlkJYargWfpoijWoh6nXEhnu1z3cMzI9pXbEfjhs9Ht29jZkfsFU887b40KpBByVHgETk4XJrJdjjbndbYvEMbZ7pg2NZkVZWqbF21WB55linLKw4N+48zcNYL0Qdk8LiYG4b+CBWnfEFhZW6PpDIazfeYKRPzWTQvINYcH2q+Yhhkfr6PumL5wcOHSHSZHVFg4Do2eg9FZyuPAyJmS/w2U9WqOTAVyc8p1dbbrAmofE/4rWLBAO0NgY2eHxlOGkHXHJi9GdMRfo/uQYyaDucHicLbAAgJW1tZoPJ3BjTZtmSDcaHIlqS/XpSVTiOTySuO50SiKAcD0G7jEG+TBZN1RoZzthM0jQ0IRFR5hdNvGoGpfL9rZ/uodbm3eb3T7cuS1Bf5J1xKZG42MEjFh+rEGLG60j/ee4MH+k0a3L8doVyBRcIil9H5w1GxB7CLHTAYAqDemL+xTOnHKX1+8iZdnrxrdvlx58NJkdUfVvp3IOqEuWKjIIFPPGwAaThpEOtsfHzoDv5v3jW5frjbPmC8nyndtxSlPSEgQzNkuV5s3mT4MaisrTrlQznY5Rn0CgEfJwijeqgGnPC4mBkcnCORsl5FgYlIwI9tXbcdPv09Gty/X33meauWRv05lTnl0xF8cn7rU6PblyGsL/JPNwHC2n1+4XhC7yDF7BQCKNKkNz7LFOOURwX9wZs5qvdpydnNF0+nDMePTDTSfM5r5d54UkaFhODNnNcZmq4htvUbj+9v3evVpKNRWVmgigLOdD8yzmon0djQo3aEpMhXMwyn/8/U7Li7dZHT7Tq5pyTVTDvt2c4HF4WyBBQyIzY0m1w0cLzfadOPTtaxtbUlHlxw27WU7NRdViESuNudztguRruWYJhWZzi+HxbyKT0e9hEj0BbVpj4+NRVhgkNFtGwM+Z/uRsfOMdrbL9bACADWH9EBKggJBKCESyhEVEfxHkEsrY5DSNa2ozna5CcImRd3RfUjR1jeXbuHFmStGt89yRJky/RgQ39nOsrkc1vMGEweSzvYnR87h3Q1xnO1ymHeGPDlQjuVsH2O8s12uF8gA0GTaUNJxcGfbQXx58tLo9uUmmKiBR4lCKNGa5WxfYHT7zPVcBt92lrP96uodAjnb5SWYqEGequWYzvYT04x3tsuRCg/gj2w/v2iDQb9HB+eUqD3cG9PeX0XHtbPIqPbkiI2OxrW1OzEpT3Wsad1XUNFtFgo3qons5UtwyiOC/+D07FVGty/XM6rayooZ2X561kqEBxvnbFer1UgpM70dc4PF4WyBBQxo5UYzUoiElaJm6sUcAIo1rwuPUgxutPnrjG5fboKJGlhZWzNvkE9OX2a0s52aNyCPuZftRHOjBX/5hkvLtxjVdiKvLXfTLod529jbo9EU8ZztrN+5HA7nlVlCJG/8jOZGs7G3R4rULpxyORxQ7VM6MYVIjoybb7QQCZtmwLRRIgBQg+Fs//zwOR7sPW5U207p0kBtbc0pl8PfulO6NKg9vBdZd0gAZztl89joaEQYeRASAnXH9CWd7W+v3MHzU5eMaluuB1QASJMlE6r170LWCeFsp2weFhiE2Ohoo9oVAg0nDoSNvR2n/MnRc/C9fs+otlnfNznsXd1yZ0eF7q055YmR7fOMbp/aw/3++t3kF0sA0HgaHdl+d8dhfHn8wqi25UipoUHWYgVRsm0jTnl8bCyOjDdeFJemwjP9vAEeZ/uanfjh+8GotuVs89xVyqJAvaqc8pi/kTg+ZbHB7drY2aFij7bIUbGkzu8kJCTgwd7jmFmyERbV6oiX566J9j3g80tcWLzR6G8w0+YyuEgt1LAGclTg2iXidwjOzF5pdPskRZYM5m0usDicLbCAB3lrVEDemhU55VHhETg5zTghEjlHAPLeIAvAjSZHwUQNijZlc6MZK0QiV5oBQBPZTtPInJqx3Oh0LTnbvKxXc2TMn4tTLgQ3mlyjRIDEzTWvs91IbjS5RoMBQCXv9kibLTOn/Mfb97i+YY9RbcvZCWfv5Ij64/uTdYeNdLar1Wq4EMJapk6116D6oG4kpdPnRy9wf88xo9qWc3S3U9rUbGf76DlGOdvtnRxJmhY5zBsA6ozyIZ3tvlfv4NnJS0a1zdrDmTr9GABSZ86Iqgxnu7Gc7SnTpyX5seXwfQOA+hNoZ/vTY+fhe+2uUW1T3/aYv5GIFIBmz1i45fJEhR5tOOUJCQk4ZGRku5z3rgDQeOpQ8rLz7o7D+PzouVFtU3MP/R4omJi4MeBzthsb2c62uTx+56yI12trdxlNc8G6VNOGV+euYXGtjphZqjHu7zshiiZTrkqlUbB+NU65sc52QN57V23O9mD/AKPal/N5xRxgcThbYIEWNOPhRgt8b7gQiZzTEgEgb/XyyF+bFiI5YbSzXX7qxxrwcaOdW7AOfwIMt4+cF3OA7WyPCP5jtBAJbXPTH8wBcbnR2DaXx9zLdGxGCpH8+fodF0Vwtstl3onOdlqI5LiRQiRy/52znO0/fT/g+vrdRrUtV15bQONsH0DWHRk336jIVDlfIANsZ/uXxy9xb9dRo9qWI8epBk5pU6POyN5k3aHRxkW2M+lEZDL3uqN8SDEs32t38ezERYPbVVtZIWV6bpaEXOad2j0Dqg/sStYZG9ku9297gwkDYeNgzyl/duIi3l65bXC79imdYJvCgVMul3mnz5kNFXu2JevEcLYnJCSYXG9HA6azfecRfHr4zOB25aq3o0GWogVQqn0TTnl8XByOGhnZzvqdF21WByqVSuv7n+4/xdpWfTApX01cXbtTcNG9pjNHkOO4vm63Uc52uX/fclYshUINa3DKYyKjcMJoZzt3DxciA70dc4HF4WyBBVrAL0Ri+A1ySgWQ1DedSTtejeVGo9J2YiKjjKasEAr83GiGO9vlvpjzOdsvGMiNpgFl87Cfv4ymLxAKRRrXQvZyxTnlhgiRJIWc0xIBfmf76ZkrjOJGI1NRZfR9K92+CS1E8u0HLizZaHC77LREeczd2tYWjacOJeuOTV5slIgppXIul791AKjYsy3SZc/KKf/57qNRzna5q5zzOtvHG+lsl7nNqw/sCmci8t7/ySvc3XnE4HbZ1DnymLtjmlQ8zvY5RkXf0enH8vi+AUDtkT5IkcqZU/7u+j08PXbe4HbZVHjysHmqTG6iONtVKhWDWkIeF8gA0GD8ANIp/vzkJby5fMvgduW+h+NzthvD2W5ta0vSb8ll3gDQeMoQ0tl+b/cxfHpguLOdRX/YbPYoTHp9AZV6tSN1aZLjx9v32N5rNMZ5VsKZuavxV6BMiMyF8zGd7UfGGU4dlCK1C6l7IKdve9MZw2ln+/o9CHj9zuB2qd95fFwcwn7K42JJ6bA4nC2wQAcwhUi2HzJYiERtZSV7kvqsxQuiZJuGnHJjne1yVTlPCl4hkncfDWrTPqUT7JwcOeVySVEDEp3tBepW4ZQnqn4vMbhdVpRIyHfjuNCFgjYhEkMvgpzd0pGbIzlt4Ao3qsnmRptjuBAJFTEQFR6ByNAwg9sUEmorK+bv/MzsVQY72+Ue7QoApdo3gXvhvJzykICfuGiMs52Kdg34KUpqqSHgc7Yfn7LEYGe7nKlzNGA52wP9PuHa2l0Gt0vNXU5ruZ1jCjSYQDvbjxrhbFfCPqb6wG7kOP2fGudsl3P2CgA4pnZBnVE+ZN2hMXMN/h7JPWgAAOqM7E3qJ/jdfIAnR88Z3K6cadGAxPFVH9SNrDPG2S5nwUQNGkxgONtPXcbrSzcNbpfUXpHRvF1zeKCSd3uy7tDo2Qa3y0ch45bLEx1Wz8T0D9dQZ2RvkrKJ8963HzgwYibGZC2PoxMXGC1yByRGtlPihvf3HDdYwFClUsmeWsK9UF6U7tiMUx4fF4cj44X3S8hp7kqGxeFsgQU6wC13diY3mjE3yEogqW88bRiTG81QIRK5R4MBidxopdo15pTHx8biiBHOdtLmMpo3wHa2X1u7y2AhEiryEZDX3HNVLsPkRjthoLPdytpa1unHgHhCJHIWRtWgUIPqyFmxFKc84ncITs9aYVCbDi7OZFqznOatVquZGSynZ69CeNBvg9qlbJ4QH49QGUWJlGzbCJmL5OOUhwT8xIXFhjnbqQhaQF6/c2tbWzSZRjvbT0xdgsiwcIPapWweGRJqNAe8kKjYoy1cc3hwygPff8bVNTsNalPOgrAa2KZwQIOJA8m6I+PnG5zqzRJSk1P6cbX+Xchxfn32Gne2HzKoTWZUu4y+7SlSuaDu6D5k3WEjnO1yz14BgDojvOGYJhWn/P2th3h85KxBbco9kwEAXDKkR43B3ck6YzjblXBeaTC+P+wcU3DKX5y5ilcXbhjUpi42d8mYHs1mjcLMT9fRbNZIJgVJUvz9E4rjU5ZgbLaKODJ+PsJ+BRs0PgBI55kFlXt3IOsOjZ5jcLvUN1NOe1cAaDRlMOlsf7D3OD7ee2JQm3LPXlE6LA5nCyzQESxutKfHL+Dt1TsGtSn3m0Tgn3QthrP9oIGLmhIiAAGgESNdyxghEjJiQGbzzlK0ANvZbiA3mlJuj1npWsYIkSjhd56zYikUalCdUx7zNxLHJy8yqE0l2JyPRubikk0I/vLNoDblzGurQcF6VZGzUmlO+d8/oTg10zBnuxJsnuhspy/VTs9eZdAh0NrWFk7p0nDK5RT1CQAl2jRClqL5OeUh3wNxYdEGg9pUgs2tbGzQmOlsX2qQs90xTSoyrVpO8waACt1aI30uT075rw9fcHX1DoPapPZw8bGxCDfCgSI0bFM4oCHL2T5hgUHOdqXsXav264xU7hk45V+fv8GtrQcMapPiLA8P+i04P60xcHBxRh2Bne1y52rXoPbwXrSz/fYjPDp02qA25ay3o4Gzmyvb2T7aMGe7PjZ3cHFGnZE+mP7hGtqvmk5ebCZHZEgoTkxbirHZKuLQmDkICwzSe4wAUG9sX9LZ/vLsVbw6f92gNum9q7z2MemyZUFlH9rZfnCUYZHtctfVUjosDmcLLNARYnCjMUnqZZJ+rAHL2W4oNxprMZfbLWr6nNlQqVc7ss5QIRK5pyVqwBIiubfrqEFCJHJXOdcgc5H8gguRkEJqMrw1b8LDjfb9jZ/e7cld5VyDnBVKonCjmpzymMgoHJ9iWGS73GkGAP7I9otLDXO2K8XmBepWRa4qZTjlkSGhOD1rpUFtKuHbzudsPzN3jUEHXyXQiQBAidYNkaVYAU556I9AnF+4Xu/2VCoVGdkut3nzOdtPTltmEMWRUtbz8t1awy13dk550Ed/XFm1Xe/2bOztSW5ouc3b1sEeDScNIuuOTVyEmMhIvdtUwsUSAFTt2wmpM2fklH978dYgZ7tTujTkXlhuNndwcUbdMX3JusNj5yEuNlbvNqm9a2xUNCIEoIQQErWG9YRj2tSc8g93HuPRQf2d7YbsY2zs7VHZuwMmv76AHruXkWtNckSFhePUzBUYm60iDoycqXcmmLObK2oO7UHWGe6X4M499Ocvo3QexEC9sf1IispX56/j5blrerenlH2MUmFxOFtggR6oPaI3udn0u3HfIG40Jkm9gbedYsElY3rUEJAbTSkbVwCoP76/oEIkVKpWxO8QRP/V/wAgJlxzeLCd7QZEtstdeCUpGk0ZQqZr3dt9zCBuNFZaopyiRIBEIZLSHZpyyuPj4nB4nP7OdiWkomrQZPow0tl+Y4NhQiSslHO5IUf5EijcmOtsj42KxrFJi/RujyW2I7e5a3O2B33+qnebchfP0yB/nSpMZ7shke1KsTmfs/3s3DUG0b5Qc5djRFTxlvWRtXhBTnnoz184t2Cd3u0pZT23srbmdbYbIuKllG97uS4t4ZaHcLZ/8sflldv0bk8JVHgAv7P96ISFejvb1Wo1XIiLJbllrwBA1b5epLM94KUvbm3R39mulD2cg4sz6jGc7YfGzNHb2W7v5Aj7lE6ccl3mrbayQsnWDTHm/jEMOLMVeaqX1/pOVHgEzsxZjbHZKmLfsOkI+a7731bNoT3J7KqP957gwf6TOrejAYv+UC56Oxo4p0/H62zXl94pZfq0UKm5blG5/a0rFRaHswUW6AHH1C6CpmspyfFae4Q3KURiCDeajZ0dmfolt4gBgJ8bzRBnu1LS8wC2s/3F6St4fVE/bjTHtKnJKBG5RX0CgGv2rEwhksNjDHC2EzaPi4mRVfqxBixnuyHcaEr6vrkXyosyXgwhEgOc7VT2SvivYFmlH2vQdMYI2tm+cS8CXvnq1ZZSIh8BIHvZ4ijStDanPDYqGscnL9a7PVaEs9wulvic7ZeWb0HQJ3+92lOSzfPXrow81cpxyiNDwwxztisgkwH4x9nOsPnZeWv1drYr6dtevGV9ZC1RiFMeFhhkmLNd5oKJGlhZW6PJ9OFk3cnpy/V2titBJFODsp1bIEPeHJzy4M9fDXK2U/t2OUY+2tjbo+HkwWTdsYn6O9uVFPVZpU9HpM6SiVP+/bUfbm3er3d7xmYsqVQq5K9VCYPP78DIWwdJfZjkiI74i3Pz12KsZyXsHTJVp++pg3NK1BtLO9uPGBDZrqQzai2Gs/3T/ad4qKezXQl6O0qGxeFsgQV6olq/zrQQyfM3eguRKImkXqsQiZ63iXSUiPw27QAPN5oBznalRAwAWoRIRs/Ry5GiVqsVwWurQf1x/ZhCJPo625USAQhoESLRk0bGNoUDHFy4Ct5ydEQBQMPJg0lO1gf7TujtbGdGgwXI7xuXqUBulOnUnFOeEB+vd2R7Ste0UFtZccrl+LcOAE2mDyejWgxythM2j4mMwt8/IQaPTyzwOduP6elsV9KaplKpmFHOl5dv1d/ZTsw97OcvxMXEGDQ+MZGvZkUy2i4qLBwnZyzXqy0l7V35LljOzV+nv7OdFPuW55pWrHldeJQqwikP/xWMc/PX6tWWUqLaAeGd7UoQTNSgbKfmtLP9yzdcXqGfs521d5Xjvt3G3h6NJg8i644a4mwX0OaeZYqh3/GNGHXnMEnflhwxfyNxfuF6jMteCbsHTkKwfwDv85V7d0CarO6c8u9v/HBz0z69xqoEYVQN7FM6od64fmSdITQyZDaqDOetRFgczhZYoCdsUzgw07XOzF2jlxOOpWorx8hHIFGIhMWN9uzERb3aouYu13nzcaOdnbtGr7aUZvPaw3uR3Gjvbz+C77W7erVFzd0YlWYx4ezmihpD6HStM3rbnBYakuvc642judFenr2qt1gmNXe5/q3zCZGcnaefzVMyf+e/9R2WJGjEcLY/OnAKP9991LkdtZUVnFy5ESdhMp13pvy5UK5zC055Qny83ry+7G/7b0OGJjqazhhBOttvbz2o18HaPqUTqfEg13l7limGYs3rcspjo6NxcelmvdqibJ6QkICI3/K7ZOBzvF5bsxMRv3XnZVXaPiZfzYrIW7MipzwqLFxvLmdq7lHhEbLMXuHNZli2BdERf3VuS2k2L9qsDjzLFOWUh/8K1tsJp6TzipW1NZrMoJ3t5xeu1+syTGl717KdWiBj/lyc8t/+Abi766hebdE2/23o0AAA2UoVQZ8j6zDm/jHywjc5YiKjcHHJJozPURk7+01g6mrY2Nuj0RQ6sv3svDV6BYQpbR9TuXcHpM2WmVP+4+17PDmiH9UptW+X67yVBovD2QILDED5rq1IIZKvz17jzaWbOrfjQPBBA8DfP/rzykkBPm60i0s26dUWNXe5zhtgc6O9u35PL15fpdmcjxvN3G3OEiJ5fvKSXiJ6SrM5Hzeavg4Zh1TcCGe5zhtgC5E82HdSLxE9iusfgCyjXQEgrUdmVOnrxSlPSEjAxWX62Zyae6RM5w0ADScNgrUd19l+a+tBhAf91rkdts3l+feeMV9OlOvSklMeFxODK6v1c8JRc5frvIF/ONsJZ/v1dbsQFR6hcztKs3m2UkVQvGV9Tnl0xF/c2LBX53asrK3JDCC5zhsAmjEi26+s3KaXIJbS1vO81csjf+1KnPLwoN+4s+Owzu1Q2UqAfOetUqmYNDIXl27WywlH2Tw2KlqWlwwAULQp7WwP/vINjw6d0bkdpf2tq62smM72i0s26RUQJuZ5JWvxgvA5uAZjHx4nLz+TIzYqGpeXb8H4HFWww2csmYlTpmMzZCqQm1P+/bUfXp69qvPYlGZzGzs7NJoyhKy7sGSjXm0pbR+jJFgczhZYYACsrK2ZaRwX9HDCOThzRQkAIDJEf9VwqVC2cwuk8eCm7rw8exVfX7zVuR1q7nKet429PeqM8iHrLi7dpHM79gq0eWWfjiRP1qODp/VKQVaazR2cU6ImI8r50rIterSjPJvXHNyddLze2X5IL1FTe2fC4Szjead0TYuqhOM1Pi5Or0g4at6AvOdeZ2RvMsr5xoa9iAzVfdzUN07O806T1R3lu7XmlMf8jcT19bt1bof1bTdEmEwq1B/Xn3S8Xl21XS9nCjX3SBnPO0PenCjZthGnPOJ3CG5vO6hzO0pczxtMGECWX1q2WS8dEtrm8p23R8nCKNSwBqf8z7cfevF9KnE9bzBxEFmujxNObWVFXjLIed55qpZDrsqlOeU/fT/g+anLOrfDWs/lOneVSoUGEweSdfoEitin5O4BAfnOGwCKNK6FzEXycco/P3yOd9fv6dwOZfPYaGEvGbIULQDv/asw/skpFG/VgNTSSN7/lVXbMT5nVWz3Ho3AD5//rVNbWaH++P7ke3rZnLl3le96Xrp9E7jm8OCUv718G18ev9C5HaWtaUqCxeFsgQUGokTrBmTqyZMj5xD4/jPxBhfsiAH5RoNZWVujat9OZN0lPSLh7Im5R4aG6S28KCXKdm5BLsb3dh5FyA/dFHyVFiUCJEa2UyJ68XFxegmwUHOX87wBoFKvdmT0442Ne3XegFF/64C85+7g4ozyXVtxymOjonFt7U492lGezav08SJ5iK+u3qEzDyDrdx4p47k7u7miZDuuEy4yJFQvhXsHF+VFiVTr34Usv7Rsi848gEr8tqfzzILCjbmckiHfA/Fg7wmd21Hi77z6wK5kuT5OOCXu4dwL5SW5nAPff8bT4xd0bsecbK5XoIgCf+fZyxWHR8nCnHL/p6/w5vItnduh9jJynjcAVB/YjSy/qEf0oxJtnr9OFTIT1/faXXx68EynNpSYyaBSqRT3O3cvlBe99izH+KenUbJtI62O57iYGFxdsxMTclXD1h4j8dPvE4BEzvZU7hk4zz87cRHf377XaSysCzU521xtZYWq/TuTdfpkZVI2j42O1pv/2wIuLA5nCywwEDZ2dqhEiGslxMfj8oqtOrVhbWcHKxsbTrncb9QqdG9Dcjbe2rxfZx5A1qIWFRZu1NjEhL2TIyp050bCxUZH4+rqHTq1wY6Oke9iDiRGOVNOuGtrdurMA0jdHkeFhcv6ksEpXRqU7tCUUx4VFo4bG3VLQVZiRBQAVO3HuFhavlVnHkClRbUDiRGvRZvV4ZSHBQbpzAPIjnaV99xZjteLSzfpnIKsxCiRjPlykmnnQZ/8deYBVFoUnAbVB3Qhyy8s3qiz41VpmQwA4Fm6KJl2/u3FW7w6f12nNpSYyQAA1XhsriuUFtUOAHlrVECGfDk55e9vPcT7O490aoMd1S7fuatUKqbN9Yl+pNdz+c4bAAo3rkkKqr04fUVnYVgl7uHUajXTCacP1YAS1/NS7RrTWZkHTiHo81ed2jCFzTMVyI0eO5diwvOzKN2hKZl9lBTxsbG4vn43Juauhs1dh+HXR39U6cPN0AOASzo6XpWYyQAA5bu0NDorU6nruRJgcThbYIERqOzdgXQY68oDqFKpFJd+DACOaVKhrFczTnl0xF9cX79HpzaYH3YZ36ICQNW+ncjbZ115AFmXDHKfd2r3DCjesh6nXB8eQKZDRo90fVOgGmPTfklHHkD237p8o+AAwC13dhSoV5VT/ts/AA8PntapDSVeMgBsh8xFHZ1wSjygAoBHiULIUaEkp/z7az+8PHNFpzaoucv9+wYA1QawoqJ0O5wzLxlkPvfcVcshU8E8nPKP957g/a0HOrVhbjbX1QnH/J3LfO6FG9YghZZeX7gB/2evdWpDiZcMKpWKecGiq82V6pQo0boBUqbnZmU+Pnz2P6n5fCDPKzL/W7eytib1CQDdox/Z33Z57+HKdW4B+5TcseuTlalEm9vY26Nir3ac8vi4OJ0Dwky5nmfMlxPdti3CxBdnUcaruXbHc1wcbm7ah0l5a+DL4xewtuWeMfXKylTgJYODizOpSRETGaVzVqZS9+1KgMXhbIEFRsAlY3qUaN2AUx7xOwS3t+qWgkylcMj9sAIAVZkpyLrxADLTlWT+YXfN4WEUD6BKpaJTUWU+b4D/cK6TE45FMyDzuWcpWoDmAXz3Ec9PXtL6vo29MjMZAHb0o84OGZbNZX7JkLNiKWQpmp9T/vnRC/heu6v1fSWm2mvAjH7U1SFDzF0JlwwF6lU1igdQqd83vuhHXW1O7mNkPm8AKN6yHpwzuHLKnx47j5/vPmp9n0mXJPO5q62sULUf6yJ1k05tKJFSAwDKeDUnx35/z3H8+fZD6/tKpEsCErMyK/fmUqMlxMfj8nLdnHAkXZLM/9YBoGKPtkZlZSr1vGKf0gnluxHUaNHRuLZGRycc+W2X9986AFThy8r8q50igb2eSzf3DHlyoOuWBZj8+gLKdWlJzicp4uPicH/PccRGczMQo8LCcXPTPp36Veq3nZWVeXnFNp2yMpVInaMUWBzOFlhgJPgOaoZGwsl9EwMA7gXzkDyAvz58wZNj57W+r0SxHQ2Mdsgo8PYYMJ4HUKk0AwCfs1179KNSMxkAIF/tyiQP4Lvr9/Dx/lOt7yuVZsDYFGSl0iUBQLFmdUgewOcnL+H7Gz+t7yuRLgngT0HWJRJOqXRJAFCmQ1M4pknFKX+w7ySC/QO0vq/UTAZrW1tU8enIKU9ISMCl5dqFYZUcEVW+W2vYpnDglN/aehDhQb+1vq9EuiQAsHNMgQo92nLK42JicGW1dmFYJe9jKvfuaFRWplL3ro5pUqFMR25WZlR4hE7UaErdxwBA1X6dyazMyyt0o0ZTYiYDAKTOnBHFWtTllIcH/cZdHbIy5ZTJkD5nNnTeOA+TX19Ahe5toLa2NqidizpnZSqPOgdIdNAXqFuFUx785RseHTqj9X0l0iUpBRaHswUWGAnP0kXhWbYYpzzgpa9OPICkeJ5CPm58ojvaoOQIwLw1KiBj/lyccl15AJV6e8wbCacD96OSb4+LNKlF8wCeuYpvL7XzACo1k0GtVvM4Xo2wuQIOLEwewIOnEfTJn/ddJWcyWNnYoCojBfnSMh2ccEQUHKCM33n5rq0M5gG0sbeHtS1XYFQJ87ZN4YCKPblOuPjYWFzRQRhWqZkMAFDJuz1pt+vr92gdv5L3MY6pXVC2cwtOeczfSFxbt0vr+0rNZAASI+GoNPWrq7YjJiqK912lZjIAWrIytx3U+r5S964AO1Dk0lLtWZlK3rumz5kNBRtU55T/+fYDD/ZpF4ZVss1ZgpG66BPIMZPBNYcHvNbNxpQ3F1GpVzvy8ogPP30/6JSVqdRMBkAkv4RC5i5nWBzOFlggAIxJO3egbo8VspgXalAd6TyzcMp14QFUcmSQsdGPSr09BhJ5AJ3duDyAT46cQ+B7fh5AJUcA8vMAbtL6vlIzGQCgbKfmZLTHvV3HEPL9J++7SuW1BRIdiJW8uSnI8XFxuKyDE478nStg3gBQsWc7WNtxnXC68AAqOQLQwTklynflpiDrygOo1EwGAKjSx4tM2b26eodWlXYlRwA6u7miZNuGnPLIkFDc2sJPjabkTAYATFqNy8u3Ii42lvdd5nqugEuGdNmyoHDjmpzykO+BeLCX3wnHmrcSLhkAHn0CHbIylZrJALCzMgPff8bT4xd431VyRiZgXFamUjMZgMSszKwlCnHKdcnKlPM+Jp1nFnRYPRNT3l5EZZ+O5IUpC1u6DddKEaZE3m4NWFmZvtfu4tODZ7zvMvcxCpm7nGFxOFtggQAo1qIeXDKm55TrwgOo1BQ1gJ8HUJvjVamigRqU6dgMKVJxb4F14QFU8iWDjZ0dKvXuwClPiI/XKsahdJsbwwNIb+CUcUDl4wG8qoUHUMmXDABQmY8HMOIv77tKvmRwSpcGpTs05ZRHhYVrTUFW8iUDYBwPoJIvGdJkdUfRZnU45WGBQbi76yjvu0q3OZMyaekm3hRkJl2SQuadKX8u5KtViVMe9MkfT46c431XyZcMADtQRFv0o9IvGTxLF4VnmaKc8m8v3mrNylTyJQPA72zng9IvGfLVrIgM+XJyynXJylTyJYMxIqFsm8vn257WIzPar5iGKb6XUKVvJ50cz6E/fmFa0fpY2awX0wGr5EsGPmo0bQLQcr5kUDosDmcLLBAA1ra2qMzgAby4jJ/7kZWupAv/sxxQvlsr2Dmm4JTf3nYQYb+Cme8pPXXFGB5ApQosaVDZu4NBPIBKTkUF2DyA0RF/cWMDvxOOSlFTyrwBoBqDB/DKym2IjY5mvqfkVFQASO2eAcVb1uOUhwf9xh0tPIBUyrlSDqgA2yFzSQsPoBzEdoyBW+7sKFCvKqdcFx5ApdKoaGBo9KPS13OPEoWQvXwJTvn31354efYq77tKX8/Z0Y/8h3Olf9tzVy2HTAXzcMo/3nuC97ceMN9j0iUpZN4AvwA0H1h0SUr5ey/csAaZlfnq/HV8ff6G+R6LLkkp8+ZzvF7Sok+gZLokACjRpiFSpudmZT4+fBaBH9hZmUrax6TJkgntlk3BVL8rqDagC2zs7bS+8/jQGcwo0RArm/aE/9NX/6lTMl0SAJTr3ILOytx5FCE/ApnvKX1NkzMsDmcLLBAILB7AGxv28i7M1I1afFwcYnRQ0ZUDUqRi8wBeX7+b+R4zRU1BH/Yqfb1IHsArK/l5AFkRUUq5ZODlAdzKTkFWehQcwOOQWbqJdzOm5Cg4IJE7rlDDGpzyRB7Ak8z3lB4FB/BzwvE64Yi5K2nemYvkR64qZTjlP9995OUBVEJkkDawbK6Nq17JmQwAkLNiKWQpmp9T/vnhc/heu8t873/Z5mQmg4LmXbB+Nbjm8OCUv718G58fPWe+p/RoMJVKxba51gw95UYAAkDxloZlZSp9D8eflWnIt10Z8waAMl7NSYfavd3HeLMylZ6ZaGNnh8q9udRoCfHxuLycnZXJymSQ87xTu2dAm8WTMM3vKmoM7g5rXRzPh89iWpF62NBxEH74fgCg/EwGvqzMazxZmUrPyJQzLA5nCywQCM7p06Fku0accm08gOzIIOV84AzhAbRzciQjJpU073TZsqBIk1qc8tAfgbi/5zjzPcrmSrpkAPg54VhOOKVHOANsHsBfH77gybHzzPdYUXBKuWQA+KIf2Qc1pUc+AoBn2eLwKFmYU66NB1DpkY8AUJ0ZCce2ub3Co+AAIF+tSnDLw+UBfHf9Hj7ef8p8T+k2N1SfQEnRYCwUa1YHqdwzcMqfn7yE72/8mO+RmQwKmjdfCvJFnuhHc7B56fZN4JgmFaf8wb6TCPYPYL6n9EwGvqzMS8vZwrDmsJ6X79YKtikcOOW3th5EeNBv5ntK/7YbmpVpDvv2yr07Qm1tzSnny8pkZTIoYd4uGdOj1YLxmP7+KtwL5dX6fEJCAu5sP4RJeWtgu/dosI4lSpi7BlX7diJ9DJdXbGVSoyk9k0HOsDicLbBAQFTr34Us5+MBVPrtMQBkzJcT+WvrxwOoVqthl1LZUSIAj+OVhweQHRmkHJt7li4Kz7LFOOUBL32ZPIDmcMkAGMYDqPRMBgDIW6MCzQN4+xHe335IvmMOmQyGOuGUnskAAIUb10SarO6c8hdnruLbS1/yHWa0q4K+7Wq1mnc9Z0HpUe0AUKpdYzilS8Mpf3TwNII++ZPvmEMmg5WNDar0oYVhLy3jccKZgc3Ld2kJOydHTvmd7YcQFhhEvmMOUe22KRxQsSfXCRcfG4urq9hOOKVnMgBApV7tSOfK9fV7EBkWTr7DFs9Tjs2FzMpU0poGJOoTUFmZV1exszKVnskAaMnK3HaQ+Z7SMxlcMqRHt+2LdH4+Pi4OV9fsxKmZK8h6JX3b0+fMhoINqnPK/3z7gQf7+bIylZ3JIFdYHM4WWCAgPEoUQo4KJTnl31/74eWZK+Q75nB7DLA54S4s3sB8R+k8eACQu0pZuBfm3iB/uv+UyQNoLjxR+opxsC4ZlDZvFg/g6ws34P/sNfmOOdicV4CFEQlnLpcMJVo3gLObfjyA5pDJYGVtjSp9aSccy/HKXNMU9LcOAGU7NdebB5Dm7VbWJYONvT0qeXNTkOPj4nB55TbyHXP4vgFAxZ5tYW1HUKNt3Mv8ZpnDPsbBxRnlurTklMdGRePaWjoF2RwyGQCgSh8vUhj26uodiImkv9VKjXxMCmc3V5Rs25BTHhkSilub95PvmMvvnHWZeGnZFmZWJv07V9YlQ7psWVC4cU1Oecj3QDzYe4J8x1xsznde0ScrU2nzdi+UF3mqldPrnXjGb0BJlwwAf0AYC+bwbZcjLA5nCywQGPpywplDlAgAFKhXFa45s3HK3165w+QBVLISrgaJTjj9uB/NIRoMAIq10J8H0Bxszs8DuIksZ2YyKMzxWsarOVKk4joa7u85TvIAmsslg42dHSr17sAp5+MBVDrfpQYVe7SFjYM9p/zW5v2I+P2HU27rmMIsLhnsUzqhQvfWnPLY6GhcXb2DfIf6vintkgEAKvvQKcjX1uxEdMRfTjk78lFZ3/aUrmlRukNTTnlUWDhubKSFYVlRcEq6ZACAagxajUvL6RRkc9m7psnqjqLN6nDKQ3/+wt1dR8l3qKh2pc0b4BEPZGRlmsve1ZCsTKVHu2rAcryysjLNhdfWs0wxeJYpyin/9uItMyuTjmpX1rwBoBrDL0FFu/Mh5DtbcE+OyFezIp2Veesh3t95RL5jiXAWBxaHswUWCIyiTWsjdeaMnHIWD6C5HNQSU5D14wE0lw97KT4ewC/fOOXmclCztrUlU5ATEhJwcZl525zFA3h720GE/QrmlJuLzXl5AFcxoh/N5KBW2bsDKSLD4gE0l0sGxzSpUNarGac8OuIvbmzgOuHM5ZIBYPMAXlm5DbHR0Zxyc7lkSO2eAcVb1uOUhwf9xp0dhznlzEwGhc0b4HG8Lt3McMLRlwyUY17OcMudHQXqVeWU//YPwMODpznl5rJ3BfhpsignnLlcMvBmZZ69yik3l30MwJOVydAnMJdLhtxVy5G8vh/vPSGzMs2B9lED5gULMyDMPGxeuGENpM2WmVOeEB+Pkm0bkftaClu7DcfFZZuZ9CtyA19W5iV9/BIK27PLERaHswUWCIxEHkCuGAdA8wCag2igBuX05AE0l9QVWwd7VOzVjlMeHxeHKwQPoLnQqABARQYP4I0Ne0lFY3Oxub48gOZk8yp9vcjIiCurdpAbUXOxub48gOZk86rMFOTNiI+L45Sbi81dc3igUMManPI/337gIcEDaE7ruT4pyMxLBgXOO0vRAshVuTSn/Oe7j3h+8hKn3Jx+5/rQZJkLXRIA5KxYClmK5ueUf374HO+u3+OUmwNdkgb66BOY0996gXpV4ZrDg1P+9vJtfHn8glNO0SUp8ZKBT5OCysQ1J5sXb1kPzhlcOeWsrExz2cfwZWU6ODth8psLKNelpdaI579/QrG7/0RMzF0dNzbuYdLPyAllvJqTdry3+xj+BHCzMs3F5nKDxeFsgQUioGLPdrCxt+OUUzyA5nR77OCcEuW7tuKUs3gAzUF4RQN9eADZUXDKm7tz+nQo2a4RpzwyJBS3thzglJtLhDPA5gG8vHwrZyNmLpGPAJsHMPRHIO7vOc4pNyub6+GEM6doMPeCeZCnenlOeeD7z3h6/AKnnJq7EucN8PAAEodzc1rPPcsWh0fJwpxy/6ev8ObyLU65edmcFQnHjX5k21x563m+2pXhljs7p/zd9Xv4eP/pf8rMKZNBXyecOa3nxZrVQSr3DJzyZycu4vvb9/8pY9IlKXDearUaVfXIymTRJSktkwEASvNlZfoH/KfMnP7WrW1tUcWHGxCWkJCAS8u5AWHmkskAAOW7tSazMm9tPQgH55TovHEeJjw7g+It62ttK+iTP7Z0G4EpBWvj3p5jZOaPXMCXlUlRo5lLVLvcYHE4W2CBCHBKl0ZnHkBzuj0GwNzAUTyADoTojNJECTRIkyUTijavyykPCwzC3Z1H/lNGzRtQ7txZHNYXl3B5AOnbY2Uu5nw8gI8Pn/1PGft3rsy5M7nqCR5Ac4oY8CxdFJ5li3HKKR5Ac/u289k8OVjRYEpE3hoVkDF/Lk45xQNoTjbndcIRNjen33mRJrWQJqs7p/zFmav49tL3P2XsqHblzV2tVvNcqpm3zUu1awyndGk45Y8OnELQ56//KTOnTAYrGxtUZQjDJk87V6vVZpVyXr5rK52zMs3p226bwgEVe3KdcPGxsbiSTBiWlcmgxHkDQCXv9mRW5vX1ezhZmaxMBiVeMjimZmdlXlu3C0DimabX3hUYemWPTm1+f+2HdW36YWaJhnh64qJsHfFV+3WiszJXbuNkZZpLJoPcYHE4W2CBSGDxAF5Zse0/Hy62IIMyF3O3XJ4oWL8ap/y3fwCeHD3/nzJq4xrzN5IUqFECWOmol1f8dwNnTtyHAJC1eEHkrFiKU/79jR9eX7jxnzIqGkyJB3MNWJFwl1f8V0iOzeerzLnnrlKW5AH8dP8pPtx9/J8yczqgAny/8+Q2Z0QGKXTuhRpURzrPLJzy1xduIOD1u/+UmQtvN8DveE1uc3Nbz0u0bgBnt3Sc8idHznH0CcxFVAsArKytUYXhhEvukDE3m5ft1Jxcr+7tOobwoN//KTOn37mNvT0q/V979x3fVnX+D/yjvaf3klccO44znL0TskjYEMoIoy2UPQot7a+MttDCl07a0gUd7FVW2JkQQnbI3nES773kbVmWdH9/yLqRrCtrXdu5yvN+vXgZX+tK9+TRvfec55x7zl2r/ba7nE5s+5fvE3qxsniex7w7boRU4Z+E2/nK+37JNa6yC7XcgZ7K7Lf1+Q0OirX7eaCnMrf9622fNlgsTZcEAPqkBEy74TK/7baOTr/1CWKtrRZoWo1v/vmGz+Cg3LnTODsZAqk6eBx/v/T7+P28azmffhptgZ7K7GhoxsFB6xPEysLP5xtKOBMyTNInFSJv4Uy/7Q0lpajYe5j9XSKTcd70+23CmJSfS6DG+eB5TuUqJefr+vv8F2MSgty505BRPN5ve8Xew6g/eW5UVMByX6Axd9j6BNt7HGgewJLNO30SMoFi7hBozIdKwu154yOf32UBYi5UxatWwpCS6Lf96OebfRIyXOUGhFv2oeYBDCXmQr6+zbz5aqiN/k+mHPhgnU9CJlDMhVp2mUKB+Xff5Ledcbn8ntyJtZjP+8ENnGXa+86nPgmZWIu5UqfFnNs4pkaz27HvPd8pk2It5gvuuZmzPr77jTU+dZRYq8MFeirT1tmFQ5/4Pq3FVXahlhtwj37kMrjuGmv3c7MlDZOvvthve2dTC45v3OazTa7ynyJSqOUGAg8UCaUeAwj3+55amIdxy/yfymwpr0bpjn3s72KxGFKOaUGDKd2xD88tugF/WX6L38CT0RZooEisx/x8QQlnQoYR11xRgH9FRiL3XyHWaRdm0hUAxi2bj/gci9/2wQkZrnIDgNMuzBHOIpEICwLEfM+b53rOY63cADD56os5R8INTshwlZ1hGM6Fx4RALBZzJ2QYxichEyjmDgHHfMbqK6HkGPkyOCHD9fiikMstlcs554Rz2O3Y//4XPq/jIuSyz/7+dzjLNTghI+X4vjsEfE9TaNScj6P2dXX7JGS4yg0Iu+zz71zN+Tjq4HoMV9mFfE/TmI2Ydr3/SLjBCZlAMRdy2QPVXQc3zrnua0K+vpnSkjHpymV+21vKq3HWKyETi3W4aGIu5HInjc1BwdJ5fttrDp9E9eET7O+xeD8P2F7xa6PGVh0uc+oEZE6f5Lf9zLZv0VxWxf4ei/fzBff4t1eA0O7nYxfNQvK4MUE/48TGrfjNjCvxwjV3ofZYSWQHyrOxi2YjuSDXb/uxdVvQ2dTC/h6LMT8fUMKZkGE08Ypl3I8mvj1ohAzHo2xCvpmLxWLMvPkqv+2DR8hwPcLneZ1QTf3OJQETMp5HliRSKWcDXsjllkilmHbjFX7b+7q6cejjDezvgWIu5AbLjNVXcidkXj9XgYvFcsvVKky5dqXf9s6mFhzfsJX9navsQr6+AcDMW67m3B5KzIVcdo3JgAmXL/Hb3lJejbPb97K/c5VdyN91wL3aOZdYP8+NqUkoWDLXb7tfQobzPBfuPQ0YKubnFsSNxXpM0tgcZM0InpDhqrsKebAEMNS1PbZjbpk6IWBCpqOxmf09Fu/nswLF3CvZHov387GLZsGUnuK3/eBHG3zmM47F+3mgmO958yP2/6UK7lG+Qi570SUXQW0y+G3f9+7nPvMZc5XdkJqEXxxZj++9+kfO6dUGO7hmPX494WK8fMvDaDpbEd2BR0kkEmHGzf4xdzmd2PvOp+zvsViHOx9QwpmQYSRXKQMnZLxGyHD2Hgt0WgkPrgs74DtaImBPooDLrjYGTsh4P7LEOQJQwOUG3I+dc9kdQsyFOo0KMERC5si5hEwslhsYonHuNVqCq+wuh+O8Xtk6mKS8bGTPnOy33TshE4vXNyC0mMfiPc0ypYhzdM/x9d+wCRmucgPCLztXBzLge22PxZgHSsgc+mgDO4dpwKdXBF72QMl274QM5whngZe76JKLoDEb/bZ7J2Ri8douEok4Y+5yOrHvf5+xv3PXXYX9uPnka1ZArlb5bf/2rY/Zp+9iMeZisRjTV/sPFOnvteHAh+vY37nKLvS667QbLg86fU4sxlymUHA+udNjbcfRLzazvwdqo4olEsy6dRWePPklbvzHrzmnl/PGMAx2v7EGvyxYgjfvfgzWmvroCxGhGTddybk9WMBaUY4AAFoqSURBVN0VEP73fbRRwpmQYRawoeY9WiLGHksEQkvIBGycC7zsoYyQ4Sq70HtQQ0nIBO49FvbNPFhCRiIL9AiusMudtzDyhIzQyx6wU20gIROr5S5auSiihIzQr+sikYizU817hEzgxzGFXfZQEjKx9qQWMERCxtbHLjYUi4/aA8C06y8LISETezGXyuWYet2lftu9EzKxep5zfdcBYNfr3gmZ2JpSAwCUWg0mXbXcb3tbTT1KvnYvghar9/OAT3EEGd0t9HLrEuIwfsVCv+0Np0pRue8IgNicCg8IbUBYsPNcKpdj4T234NdntuCa3z3KWSf05nI4sPXFt/Dz3AV4/8dP+0xjMVLiszIwZv4Mv+3lew6xC1/H4hRZ5wNKOBMyzEJJyHA+ohYDvWnBEjJcDVRA+GUPJSHDVXah96AOlZDxjJAJ2DgXeNknX30x52ITnoSMSCTibpwLvNwhJWRi9Dyfdv1lEEulfts9CZlYLXdICRmuBmp/v6BHtQOBEzKexnmsxnzIhMyW3QBic7QrEPzJnViNeSgJmQuu7srGnPtRe6GXPVBCpuLbcwmZWKy7AkMNGnAn2wOd50Ive1pRPtInjfPbfurL7WirbQAQm09kAsCMCGMu9BH9uXOmck6JceSzr9BtbQcQ6NruX265WoXlP7kLT5dtxaW//CHnui6+72HHpuf+gydyFuCTXzyH3vaOCEsRmUDnuWedpVi9n482SjgTMszEYjHnYxzeCZlYWzTQI1hCJhYXXgGGSMi0dbAJmVgcJQIEHyETi/PgAYBSp+Vc8TvYCBmhlxsIPrdtrI4ADJaQCTSqXejlBoZ43N6TkAl0be8XdtnjszKQtyBwQiaWF5wJ9rRWLM7zCQBpEwoCJmSsNfUxPSIq0NNauwZiHqv1mGAJmVituwKBY+5JyMTi03mAe7FzXWLgha8D1WNioexcHSwMw2DPW4GTcLFQj5l0xTLOBOm3b38Kp8MRs08yBJrP2GG3Y//AOkvhPqWm0utw+ZMP4+nSb7DskTshU3J3ynn0dXXji18/j8ez52P9717wWVx+OE35zqWc5/Iez0CRGK7DjSZKOBMyAgKNlvAkZGLxUVRg6IRMxd7DMbnwikewmMfiAktA8BEysfqIGhDZCJlYaKwEHCHz1Q53QiZGOxmAwDHf9fqHEIvFnEnnWCh3zuwpQyZkYnnhlaFGP8ZyuYMnZLi+63Z2+gUhC5SQ+fbtT2K6HjPx8qWcCRnPwtfcdVfhlztYQiaWYz7lWu6Fr/cM8eROLNzTJFIppt94ud92W2cXDn2yMabrMdNvvAIikchv+56BumusdjLI1SoUr1rht72zsRknNm6NyUUDPQLPZ/wRgMg7GbTxZqz6/WP41ZktWHDPzZyDzrz1WNux5v/9Bk/kLsDXf39t2K+hGpMBEy5b7Le9uawKZ3fsi+k63GiihDMhIyBYQiZWH0UFhk7CxeKCDB6BRsgc/XwzulvbYvYRNWDoETKBp1ER9iNqQGQJGaE/jukxZEImhs/ziQFGyHgSMrF6ngdLyMTq4nlA4ITM7jfWBGxcxUK5h0rIHP50U+CGmsBHtQNDJ2Ri+bseMCHT1IITm7ZdoHXXj2L6nhY0IRPTMR+iMzGGY25KS0Y+x8LX1YdOoObIyZidRgUYesqkWF3sGwCS83OROX2S3/YzW/egubwq6ikATWnJWP2Pp/HUqa8w85ZrOO+f3jrqm/DO/b/AL/MXY/ebHw3r9GuBplIZ6n4eCzEfTZRwJmSEcD2CfC4hE5sjBoChEzIQc1+CYqHsQyZk3v8iZh9FBYYeISOWcSdkYqHswUbIxOrUOQAwY/WVnBXK3a9/GLOL7QCAXKXElGtX+m0fKiETC+UGIkzIxMB5rjEZMOHyJX7bW8qrUbb7IEQc97VYKDcwROP89TUxO3UOMHRCprGkjHOfWCg3MPSUSbFcd00am4OsGdwJmY6GZs59YqXsAQcNvLEmpu9plqkTkFyQ67f92LotsHV1c+4TK2UfanBQLLdXxi6aBWNast/2g2vWw9Hv4NwnVso+a4jBQXzFPCHHgu+/9hx+fmQ9iq/x77wcrKW8Gi/f/BCenXY5jm/cGvbnhaLokougNhn8tu/932cBE+OxEvPRImJi4Vk3QgSgrbYBj6bP8nu8VBNnhL3Hhv5em892fVI8FtxzM1wOJ/KXzEH+otkjebi8eu22n2DHy+/5bY/LSkdLebXf9hk3XYWEXAvEUilWPn4/xAES0+e7+lNn8WSBf2JClxiHnrYOvxuY2ZKGObd9By6HE0WXXoScWVNG6lB59+Kqu3Hgw3V+282ZaWitqPHbPue262BMS4ZCo8Lyn94dtDf8fFWx9zCene4/j7UhJRGdTS1wOZw+2xPzsjF99RVwOZwoXrUCluKikTpU3v152c04uWmb33ZTRgqsVXV+2xfeews0cSZo4oxY8sPbRuIQh8XJr3bgz0tW+203paegrbYBzKCRGmkTCjD5movhcjgx46arkDJuzEgdKu9+M/NKlO855LfdmJaMtpp6v+1LHr4dCq0GxtRELLj75pE4xGFx8KP1eOHqu/y2B7q+ZU6biKJLL4LL4cSc265DQo5lJA6TdwzD4MlxS9BwqtRnu0gshi4xDh31TX77XPyzeyCRyRCfnY45379upA6VdztffR+vfu8Rv+3x2RloLqvy2547dxoKls6Fy+HEgntuhokjqSEELqcTj2XO9TufJXIZVHoduppb/fa57MmH4HK6kDIuF9Nv5H50Wwg2//UV/O/BJ/22x+dkoLnUP+b5i+dgzLxpcDldWPLw7dDGmUbgKPnX39eH/5cyAz0DC4h5yNVKSBUKv+0SmQwrH78PLocTGcXjQ0osna++eOZv+OSJP/htj8+xoLm00m/7+JWLkDV9IpwOJ1Y8ei+UWs1IHCbvejs68dPk6X5tUaVOCwYM+jp9E+4KrQbLHrkDLocT2bOKMeFS/1HxQvHBT5/Fxt+/6Lc90LV98tUXI21CPhgXg5VP3A9ZgKk3zncdjc34WepMuJy+7RK1yQBHn91vXmVtvBmL7r8VLocTYxfNQgFHJ2wwFXsP4+Mn/oDj678J6fXjls3H1b/9f7y3jd68+zFsffEtv+1x2Rlo4Yj5tBsuR9LYbIjEYlzyxAMQSyS8Hk+so4QzISMoUEJmKGKpFL86vRnxWf7TMwhFoIRMMIvu/y5u+OtTw3BEI+fZGVei4lv/hMxQZColninfBj3H9AxCcWDNOrx4zd1h77fisftw1TM/GYYjGhmBEjLBqAw6/F/FdqgM+mE6suEXKCETzNW//Rku/mn435XzRaCETDD65AQ8XboVcpVymI5s+AVKyASz+p9PCzrhHCghE0x8dgaeKtkMSZB5Dc9nXzz9V3zy8z+Gvd9tb/4FM1YLN/lo6+zCT5Km+SVkgkmbUIDHD34h2I5zIHBCJpj7PntJ0ImoQAmZYHLnTsMjW98TbMc5EDghE8yPv3kXeRzreAhFc3kVnsieH/Z+41cuwgNfvML/AY2g/9z4APa+82nY+z1+4HNkTB4/DEc0MqoPn8DTk/yfVAtm2vWX4Qfv/G0Yjmjk/O3S77OL2YdKJBbjqVNfIXFMVsSfW7JlFz5+/A84u31vSK+fcdNVuOLpH/OWCzmz7Vv8Yf53wt5v/p034qYXn+XlGC4kwq3xEiIgXS1WHFyznnP0TzCzbrlasMlml8uF0p37OUe6BiORybD8J3cOw1GNjI7GZhz4YC1s7Z1h7zv/zhsFm2x2OZ04vXUPjn4eXgUGcM8XueQh4Y50battwP73v4hoTr+LHvy+YJPNTocDpzbvxImN4XWmAe6RFAvvEW7isbWqFvve/TyihdGWPXKnYJPNDrsdJzZtR8mW3WHva0hNwuzvXTsMRzUymkor3fNUR5A0vvjRewWbbO7v68OxdVtQtutA2PsmjMnC1OsuHYajGhkNJaXY9+7nkCnkYSecVz5+n2CTzfaeXhz5YjOq9h8Ne9+MyYUouuSiYTiqkVF7rAT73v0MMqUCfd09Ye17yRP3CzbZbOvqxpHPvkTd8TNh75u3YIZgk80Mw6Dm8Ans/d9nkCrkYdfjLnnigWE6suHX296BQ59s4hzBHcyEy5YINtnMMAwq9x1xT6UgFvs9jRbMysfvH6YjG37drW04+NGGsAdKAO41DaJJNgPA2IWz8MjW93Bs3df4+PE/oOrAsSFfv+fNj7D/vS+w8L5bsPLx+yN+esTlcqF89wHse+/zsPcVSyRY/v/uiehzL3TCrPUSIiAulwuv3/5THPp4Y9j7isRiXPwz4V7cTn+zG3+9+LsRrTo767urYLakDcNRDT+nw4GXVv8QJ7/cHva+Urkcyx4RbqL92Lot+OeVd4Q9IggAFtxzM3QJccNwVMOvv68PL666O6JkjEKrweIffn8YjmpkHPhgLf5744MRJV2XPHQb5xzvQmDr6sbfL7sNNYdPhr2vJs6E+XeF/9TH+WLXax/ijTt+FtG+y39yJ2RKYSbau63t+OuK76LxNPe8vUMxpadg1q3c8+EKwZZ/vI73f/R0RPuufEy4ifaOhib8eenNsFbVhr1vUn4Oplx7yTAc1chY/7sX8PlTf4lo35VPPCDYpGtLRTX+tHg1Ohu552oeimXqBBRevHAYjmpkfPqL5/Dln/4b0b4rBZx0bSgpxXMX3Rj2UysAkH/RbOTOmToMRzX8GIbBez96Gjteejei/S95QrhJ1+pDx/HcRTeiL8D83EOZdNVypE0oGIajGn4Mw+DNux7D/ve/iGj/FY/dx8txiEQiFK28CIUXL8S+dz/Dx4//YchOD4fdji//9F/seOldXPyze7D4h7eFPWijdOd+/HnJ6ogGBs246UrBToc22oTZ5U6IgIjFYvzgf3+L6LHCaddfhqSxOcNwVCMjf9Fs3LXmxYCLCQUiEouxQsCJdolUins+/jfGLpoV9r6zv38tTOkpw3BUI2PCpYtx+9vPhz2/lVQhx7If3zFMRzX8ZAoFHlz3KrJnTg5734X33izYuR4BYNr1l+Pm//w27OSCUqfFoge+NzwHNQKUWg0e2vRmRI2OJQ/fLti5HgFg3g9uwHV/+WXY++kS4jDvjhuH4YhGhsZkwMOb30ZiXnbY+y7/6V2CnesRAJY+/ANc8esfh72f2ZIWcLFBIdAnJeBHX78TUQf4ysfuE/Rcj5f98iEs+4n/XOXBJI8bg8lXXzwMRzQy4jLT8fDmt6FPCv9JMyGPbgaAVX94HAvuvins/bJmTMK4pfOG4YhGRnJ+Lh7a9CbnYmLBCDnRLhKJcPO/no3oGj1u2XxkzywehqMaGRmTx+OBda9CEUFd7BIBj24WiUS47c0/Y9KVy8Let3jVSqQW5vF6PGKxGNNvuAJPntiE659/Etp485Cv723vxEeP/g6/yFuE7S+9G9YApzFzp+HeT/4DmTK8uphIJMKKR+8Nax9yDs3hTIaNy+VCV1MLrFV1sFbXobu1Hf29Nth7bXDY+mDvdS+U12/rc//0+n97bx8YlwtytQpyjQoKjRoKjQpyjRoKjZrdJvfartJrYcpIhSk9GRKZ/+qqI8ne0wtrdR2sVXVor2tEX3cPbJ1d2P7fd9Fw8mzI71N48QIYU5N8yulbfvdPXWIczJnpUBv1o1rRdblc6GxoZsveY21Hv60PlQeOYtcrH4R8UzBlpGDswlmccfb+d1AZdDBlpMCYljzqo6f6untgraqFtboe7XWNsPf0ore9E1tffCusx9QmXLYYusR4zjh7l1+fFI+4zLRRn4bB5XSio6GZLXtvWwfsvTaU7T6Ib9/8KORRr/E5FuTOmcodc62a3aYy6GDOSIEhNWnUY27r7IK1uh7Wqlp01DfB3tOLHms7tvzzDc5F8riIxGJMvHwJNHGmIWOu0GqgT05AXGbaqI8IdjmdaK9rdJ/nAzHvt/Xh9NY92P9u6I+pJeXnIGvGZM5z27v8aqMeZksqDCmJo5686e3oZO9pHfVN6O+1oau5FV///TV01Ic2Gk4slWDSlcugNhoCXOPc5VcOxNycmTbqyWmnw4H22gb39726DraOLvT32nBi0zYc/mRTyO+TWjQWlilFQ97LFRoV1CYDzJY06JMTRnU6AoZh0NvecS7mDc3o77Who6EFW/72KrparCG9j0Qux6Qrl0Kl152r02g1/vUbrQaGlETEZaZBrlYNc+mG5uzvR1ttA6xVdWirqUdvRxcctj4c+fyrkBf8AYCM4kKkTSgIGnON2QizJQ26pPhRj3mPtZ2tx3Q2taC/14a26np8/Y/X0dvWEdL7yNVKTLx8KRQ6Lee1zbNNqdPAkJoEsyVt1KfYcdjtaKtpgLXaHXNbZzfsPb04uGY9TocxfU7WjElIHjeGM87e2zRxJpgtqdAlxo9q3ZVhGHS3trH1mK6mFth7+9BaUYMtf38t5Ck1lDotJly2mPvc9o69TgNjWjLMGSmj/rRHf1+fO+ZVtWiraUBfVzfsvTbsfefTsJ7Yyp0zFQl5WQPXNnXA+5o2zgRzZhq08eZRj3lXcyt7nnc1W9Fv60PTmTJ888JbIU+dozYZMH7lIs5z23ubUq+FMS0ZpoyUUe947LfZ2Ht5W00D7N096Ovuwe7X1wSd2sDb2EWzEJeVznlue5dflxAHc2YaNGbjqLdRu5pbz+UlWtrQ32tD/cmz2Pavt0N+GleXGIdxy+aHlJcwpqfAlJ4c9sArvtl7emGtqXfnJWob0Nfdg76uHux46V3UHT8d8vuMWzYfpvTk0PISljSoTYawY97b0YmNv/8XNv7x3yGdh6njx+Kq3/w/TLh0sc9n2Xt6Yevsgj4pwW+fE5u24R+X345+W19IxzT1uktxx//+HnohiI+IE87l5eXYuHEjtmzZgiNHjqCyshJdXV3Q6XRIT0/H7NmzsXr1aixcKNzHikhgg5PJ7M9q98WsbeAmFslUCtESiUTuyntmGuIy02C2pMKcmQZzZjr7ezQJG+9ksvfPtup6tFbVoq26Ht2tbfwVKAxKndarvN7lT4c5Mw2G5ISIEzaDk8mcZa9pgMvh4LlUwYnEYhjTkhGXmQaTJdVd7oHymyzunwqNOuL3904mn/t57t+grboOPSE2QvmmMuhgtqSxMTf7lD89qsb74GQy179Be21DRNNnREsskcCYngzzQHz9ym+JLmHjnUwe/NP9fa+DrSP8+bn5oDbqvcrrda4PlF+flBBxpd7pcKCjvonjPD9X9va6xtGJuVQKU3qyV3nT2etdXGYaTBmpUSVsets72EbY4PO7tcp9nbN1dvFYotBpzEY2vp5z2/tap0uIiyrm3slkrrJ31DeFPb8hHyQyGUwZKT7fb8+93GRJhdmSGnHjfXAy2fM9Pxdv97Zw52/lizbezHE/P/f/mjhT5DH3Sib738vdZe+ob4pompxoSRVymDJSB9Xf0thrvSkjJeLG++Bk8uCye/7f3tPLc6lC40nMnKu/pHp996NL2Hgnk7nLXouOhvCnkOCDTKmA2TK4vF7XuigGkgxOJnvXX9o87ZbqurDn5uaLPimebaOY/cof3UAS72QyVz3GWl0f0bQhfJCplF7l9b2XmzPTohpIMjiZ7Ft385S9LqLH6qMlEonYjmTv+5l3+aMZSGLvtaGtpp6z/sJ2qDS38lii0Ck0ar9rmndbNZqBJGxeopqr7AO/j3Zewru+6tV2iXYgCZuX4Ki/eP4tRisvodBqhmybDzWQpK22AZ8/9Wds/29oo5jzFszANb97lB11/8Uzf0PZrgO495P/cF5DAyadRQAGVX1+fnidYKdQOR+EnXA+cOAA7r77buzZsyek1y9atAivvvoqLBaa80So7L021B49haqDx1F14BiqDx5HzeGTo9YI44PaZEBcVjrSJuTDMnUCLFOKkD650GcUGcMwaK2sQdXB46g+eJz92VJePYpHHh2JTAZTejISx2bDMqUIGVOKkDl1AuKy0n0uxn3dPag5ctKn3NWHT45ahZwPmjgT4rLSkT6xYKDcRUifVOiTlGQYBi3l1ag6eAxVB87FPZK5G88XUrkcpowUJOXnDMR8PDKnToApI9Un5raublQfOuET85ojJ0elQs4XbbwZcdkZSJ80DpYp42GZOgHpEwt8RhS5XC40l1aeO88PHEPVweNor20YxSOPjlQhh9mS5o751CJYphTBMnUCjKlJPjHvbe9A9eGT7HW96uBx1B07PSoVcr7oEuMRn52O9MmFbLlTi8b6JCVdTicaz5T7fNerDh6PaFHX84UnYZM8Lpctt2VKEQwpiT6v67a2o/rQuTJXHTiGuuNnRqWjkC/65ATEZ2cgfXIhMqdOgGVqEVIK83ySki6nEw0lZez5XT3wX2dTyygeeXTkahXMllSkFOax97SMKUV+C852tVj9vuv1J86MSqcRH0QiEfQpiYjPzkBG8XhYprrrMcnjxvgkK5z9/ag/VerzXa8+eHzUGt58UGjUMGemIaUwz31tHzjPB0/J1NnU4lPmqoPH0XCqdFQ6jfjgSdgk5FoGYu4ud3JBrk+ywmG3o/7EGXfZvc7z0RoQwAelTgtzZhpSx+ex5c6YUgTNoKkf2usbfc/zA8fReLpsVDqN+OAZSJKQa/FqrxQhcWyOzyCK/r4+1B0/7VNnrz50YtQGBPBBqdchLisNqUX5yJw6ARlTxsNSPN4nEc0wDNpqGwbF/BiazlaM4pFHxzOQJHFMFjKmFLH19oTcTN+Y22yoPVrCXuOqDh5HzaETws5LGPWIy0pH6oQCtt6eMbnQJxHNMAys1XU+1/Xqg8fRXFY1ikceHc9AkqSx2QMxd9/X4rMz2PZK/ckzWPPo73Doow0hveeUay/B4oduw99Wfg+2zi7c8p/fYu7t13O+9uSX2/H3y27zSTqbMlJ92v3Fq1birvf/GUUpSdgJ53feeQc33ug7/97YsWNRVFSE+Ph4tLW1YceOHaiuPpeUS01NxdatW5GTI9y5aC8UXc2tbEXNc0GrP3lWsJXUcBlSEqE06OByONDR0Iy+zvAXEhAihVYNfVICJDIpejs60VE3OiObRpxIBGNKIpR6LRz9/ehsaEZfl3ArLOFQ6rXQJcZBIpWip70TnaM0mm2kicRiGFITodRp4eizo72+Ef09wu1ICYfKoIc20QyxWIzeto5RG8020sQSCQypiVBoNXDY+tA+MBXGhUBtMkCb4H50ucfajs5G4SZYwyGRSmFITYJcrUS/rQ/tdY2C7jwLhybO6E5AikTobm1DV9PojGYbaRK5DMaURMjUKth7etFe1winvX+0D2tEaOPN0JiNYMCgu8WK7pa20T6kESFVyGFISYRMpYS9uxftdQ1w9gu38ywcusQ4qE0GMC73aN5IFrsTIplSCUNKAqRKOfq6etxPXDmE2XkWLl1SPNQmPRinC51NrSFP7yN0MrUKhuQESOUy2Lq60V7XCMZ5YeQl9MkJUBn1cDmc6Gxshq1jdJ6yG2lqo96dgJ46ge146Khvwpqf/RalO/aF9V4KrQZPHFobcMG/I19sxgtX3Qlnv7u+MOvWa3D4k01sR+UTh9YifeK46Ap0gYs44TxmzBj84Ac/wM0334y0NN+FNFwuF15++WU8+OCD6OlxJ29mzZqFHTt2CHohhVjDMAxqj5Xg5KZtOLV5Jyr3HUVbTf1oHxYhhBBCCCGEEEIIucAp9TpkFBdCpdeifO8RdNQ1hrzvmHnT8aOv3wk4fcf+D9bi39fdB8blwrV/fAJ93T349BfP0ehmnoSdcN6yZQvKyspwyy23QBJkLtg1a9bgmmuuYX9ft24dLr5YuKsWx4LWqlqc/HI7Tm7ajpNfbj8vHiGWyuWQKhWQqxSQqZSQKd0/RWIx7D29sHf3oq+rG33dPTE1QkkkEkGmUsJht0MkFsNsSYOtswvOPjtMllR3ubt72PLH0uhTqVwOkUSM/l4b9MkJUOq1aDpTgeRxY8A4nejr7mUXsYipmIvFkCkVcPT1QSyVwmxJQ4+1HQwYGFOSBuLdw5Y/pmKukEMkFqG/tw/GtCTI1So0na1ESmEenP39Pt93IU/pMJgn5v22PvfcpOkp6G6xQiyTQp8YP3Btc8fb3tMbezEXidBv64MpPQVSpQLNpZVILRoLR5+djXlfVw87siAWiCUSSJVy9Pf2QaZSwJSWgo7GZshVSmjiTD7nuJAfAeUiUyrAMAwcfXaYM9MglkjQWlGDlPFj4bD1+VzjYi7mCjn6e22Qa9UwpiShva4BKoMeKoPu3L184DyPJd4xj8vOAMCgrboeKePHel3X3TEX8tQtg4mlUkgVMth7bFDptdAnJ8BaXQdtvBlKrYaNua2rO+aeqJCplHA5nXDa+5GQa4Gz34mOhiYkF+TC3mOL7ZjLZbD39EJtMkCXGIfWihoYUpMgUyp8zvOYjLnDCZfTgfhsCxx2O7qarUgam+11P3P/FOp0PVwkMhkkMinsPb3up0fizWguq0JcZhrEUqnPNS7UBciEQCQSQapUuJ8YYBjEZWe4F2Hr6EJCruVczLvc9ZhYehLaHXMJ7D02aBPcT480na1EQq7FnZuI4ZizeQmRCObMdPQN3L/MmWm+eYnzJOZiiSTk683Vv/0ZLv7p3QH/vvuNNXjl1h/h/i9eRs7sKXgiZwEe3vw2jW7mQcSLBoZq5syZ7HzPDzzwAJ5//vnh/DjBYxgGvb296OnpgXPgBJJIJFCpVFCr1WGPEO9pa8epzTvZBHPDqdLhOGyWQquBKSMF5owU98qsGSkwDfw0JCdAplZB7pVUlikVbG+Tw+FAZ2cn+vv74XK5IBaLIZPJoNPpIB2Yl8/ldPo23AYqOH3dPehqakVrZQ1aK2rQUlGDxlOlaK2uh3OEk1dSpQJTr70EGVPGu8uengyV0QCZSgGZUuEuv0oJiUwGkUiErhYrvvnP25hx+3Xotrajo7YRKePzoFaroVKpIBKJwDAM+m19bILCO1lh6xhY3KzSXe6mMxVoKq1EzyjMU5g2oQCTr7nYvfhLejL0yQmQq1VsvOUqJaQKORvzL59/GWOWzYUqzoiKPYeQOWMSZDIZ9Ho926HldDhg7+llKzXeldrOpla0VtSgtaIaLRU1aDhViraa+hF/pFKuVmHaDZchbUIBTBmpMKYlQWXQQ6Y6F2+ZUsHGvK2uEbvf/hhTbrkKHQ3NsHf3ICE3ExqNBkqlcuiYd3Wjt6MLbdX1aBkoe9PZCjSdrRyVx+ssU4sw6Ypl7nM9IxW6xDh3zAfKLFcpIVUq2PnXPn/mb5h669UQK2So2HMIWTMns+e5T8y9zm32/7u60dnY4o55ZS1ayqpQX1KK9trGEW/UKnQazFh9JVIK82DKSIExLRkqvdan00yuUkIslUIkEqG5vAoHP/sSk66/FK0VNRDLpDClJUOj0UClcs8jzjAM+nttA/H2vc71tnfCWlXnjnllLRpPl6G5tHJUHq/LmT0FRZcuhik92R3zBDPkatVAx6H7+y5VyCEWi8EwDD755XOYfd/NgEiEym8PI3PGJMjlcuh0OvZ74ezv97u2ecrfUd+E1spatFbUoLmsCo2ny0dlsUqVUY8Zq69E8rgxMKUnw5iWDKVO4475QLw95zkA1J86ixNbdqHo6uVoLCmDOs4IXbwZWq0WyoF5xH1iPuga19vWgdaqWlgra933tNNlaCmrHpWFC/MWzkTh8gUD9/RkaBPifK5tg2P+0eO/x/wf3QaXyxV6zL3K317fNHBtr0FzeTUaTpWOysKFmjgTZt58FRLzst3neWoSFDoNe11j7+cDdZTKA8dQeeQE8lcuRO3RU4jLyoBKr4VWq4ViYB5xl8vFxnxwXabH2g5rVe3Atb0GjSVlaKmoHvmpnkQijFs6F/mL57B1OE2c6VzMVUrIVQpIFQqIRCK4XC58/PM/YsGPboPT6WRjrlAooNVq2Zg77HbOc7yvqxvtdU1orahGa2Utmksr0VBSjs7G5hGPuS4pHjNvugoJYzJhSk+BITUJCq3ap+wypYKN+dkd+9BUXYvci2ah+sAxJBXmQaFSQqfTQT4wj7jL5RoYQOF/jeu2tg+c49VoKa9G45lytJbXjHjHhEgswvgVi5C3YAZMGakwpSdDE2c6V3cbGBjiibnT4cCnv/oL5j34XTgcDlTvP4rM6ZOgVCqh1WrZ9orDbuesv9m6etBe2zBwba9GU2klmk6Xo6OxBRjhjldjWjJm3HQl4rMzYMpIhSElEQqt2uf65h3z4xu3otdmg2XWZFTsPYz0yYWQKxTQ6XSQDVz/OWM+0MHc3drG3tNaKqrRWFKG1sraEU9SiyUSTLx8CXLmTHXf09Ld5/m5tsrAtV3u7jy299qw7rf/xJz7b0G/3Y7aQydhmTbBJ+YMw8Bht/td2+zdPbB1dqOttoG9tjedrUTjmXL3InYjHPO4rHRMv/EKxGWlw5ieAkNKAhQa9aDvu5Jtrxz8aAPEWhWSJ+aj4tvDsEybwNZd2Zg7ne72Cse1vbvFytbfWsrdMbdW1Y54wlIik2LSVRcje+ZkNuZqk+FcvJW+Mbd1dWPjc//B7HtvQl9PLxpPlSKjeDyUSiU0Gs25mPf1+XU89HliXlPPts2bS90x7262jmi5ASAxLwtTr7+MXYhUn5wAuUYdMC+x682PYMxJhznXwrZRpVIp9Hp9SHmJ7uZWd7wras7FfBQWq5Qq5Jhy7UpYpkxg2ytqk2GgzP55iW5rO75+4Q3MvON69HR0oq2yFqlF+T65qMExt3X1nGuvdnbDWl3ndY1zn+/ttQ2jOqhGKpfj0b2fDLn435YX3kDGnGJokxMC5iVI+IY94fyjH/0If/rTnwAAl19+OT755JPh/DjBstvtaGtrg9VqRX+AUT9SqRQmkwkmk4mtxA7GMAzKvz2EQx9vxMlN21Cx9wjvlXWzJQ3pk8chbUIB4rLS2aSDKT057JV1GYZBZ2cnrFYrOjsDL/Cg0+lgMpmg0+kCJt27Wqw4/MlGHFu3Bae+2jlqq/ACgMqgw72f/hd582cEfI3dbofVaoXVaoUjQLJMJpPBZDLBaDQGjLnL5ULpzv04/MlGnNy0HVUHjo3qBX3Wrdfglv/+LuBKwy6Xi415V1fgxIler4fJZPJpuAzW0dCEQx9vxPH13+DUVztGdWEYbbwZD6x9BZnTJgZ8TV9fH6xWK9ra2gLGXC6XszGXBViV3eV04sy2b3H40y9xctM2VB86wUsZIrXw3ltw/V+f8lnUw5vL5UJHRwesViu6u7nnRReJRGzMPZVYLm21DTj40Qac2PANTm3eNaoLwxhSk/Dg+teQVpQf8DU2m42NuTNAglShULAxlwY4b5z9/SjZshtHPvsSJzdtR+2xEl7KEKnlP70LV//mZwHj5HK50N7eDqvVyk6tNZhIJILBYIDRaBwy5q2VNQMx34qSLbvR1zV6c+vHZ2fgwQ2vI3FMVsDX9Pb2svdzV4D7r1KphMlkgsFgCBhzh92Ok19ux5HPN+Pkpm3D3mEczBVPP4KVj90XME5Op5ONeW8vd7JMLBbDYDDAZDJBrVYH/Kym0koc+mgDjm/4Bqe/2TOqowWTC3Lx4IbXYc5IDfianp4etLW1oa2tLWDMVSoVG/NADZd+mw0nNm7Dkc+/wslN20d9Aajr/vJLLH7w+wH/7nQ62e+6zcYdI7FYDKPRCJPJxHaucWkoKcXBNetxYuM2nNn27ag+3ZQxuRAPrHsV+qQEzr8zDOMT80B1LrVaDZPJNGRj1d7Ti2PrtuDoF5txYtM2tFbU8FaOcInEYtz8799g7m3XBXyNw+FgY97Xx50sk0gkbMyVXov0emMYBnXHT+PQxxtxYuNWlO7YP6pPN+XMnoL7Pn/ZbzE+D4Zh0N3dDavVio6OjoAx12g0MBqNMBgMAetEts4uHF37NY5+sRknN20f1ekMJTIZvv/GnzDtussCvqa/v5+NuT1AjCQSCVuPGSrmNYdP4OBHG3By03aU7jowqiPgC5bMxd1rXvRZmM0bwzDo6upi26iBYq7Vatk2aqCY97Z34Mjnm3Fs7dc4sWnbqD5hLFMpced7/8CESxcHfE1/fz9bdw0Uc09ewmg0sh2qgzEMg8p9R9zn+aZtKN9zaFRHxk68fCl+8L+/Qa4K/B3t7OxEW1sbOjoCtyl1Oh2MRiP0en3AOlF3axsOf7rJnZf4cseoLlKs1Glxz8f/Qv5FcwK+JpRcVCh5iUCc/f2wVtejpaKaHUjh7niqGLHFXdMnjcPP9nzss6g0wzBsGzVYXsJoNA6ZiyLchj3h/OMf/xjPPfccAOCSSy7B559/PpwfJ0htbW2oqakJK0mYmpoKk8nkHlnidOLs9r3Y/8FaHPxwPazVdbwcl1giQUphHtInFyJjciEyiguRPqkQGrORl/fv7+9HVVVVwGQEF7VajYyMDDYR117XiANr1uPgh+tQ8vWu8+oxLplKifs+/S8Klsz12c4wDKxWK2prawPs6U8kEiEtLQ1GoxGAewTo6S273TFfs/68mBrFW/Gqlbj9rb/4XNAB982ssrIyYMOUi0ajQUZGBpuUaa2qxYEP1+Hgh+twZuu359UUBEq9Dg+sfQW5c6b6bGcYBi0tLaivD71RIRKJkJGRAb3e3YnjsNtx6qsdOPDhehz6aMOoVly4zPruKtz639/5zY/V19eHysrKgA1TLjqdDunp6WwDvbmsCgc+XIcDH6xF6c79vB53tDRxJvxw4+uwFBf5bGcYBk1NTWhsDH2OMbFYjIyMDOh0OgDu1ddPbNyGAx+sxeFPNqF7FJ5aGMrC+27F9c8/6dfAstlsqKioCFhh5WIwGJCWlsa+V8PpMhz4YC0OfLgeFd8e4vOwo2ZIScTDX72F5IIxPtsZhkFDQwOam0NfjFEikcBisUCj0QAYSD6t34KDH67H4U83obd99DpUuKx49F5c+cxP/Crbvb29qKioCNiRxsVkMiElJYWNee3x0zg4cJ5XHTzO63FHKy4rHQ9/9TbiszN8trtcLtTX16O1NfQObqlUCovFwibcbV3dOLb2axz4YC2OfL55VDtUuFz1fz/Bikfv89ve09ODioqKgB1pXOLi4pCcnMyOkKo5ctJ9nn+wbtQ70QZLLsjFQ1++BWNqks92l8uF2tpatLW1hfxeMpkMmZmZbCKut6MTRz77Cgc+WIuja78+76ZfuOFvv8Ki+271297V1YXKysqAnSpcEhISkJiYyMa8cv/RgWv7ulHvRBssY3IhfrjxDWjjzT7bnU4nampqhkxADSaXy5GZmckm4rqt7Tj8yUYc+HAdjq//5ryaLk4kFuPWl36H2d+91u9vHR0dqK6uDivmSUlJiI+PZ59+KN9zEAc+XI8DH6xFc2kln4cetZzZU/DA2lf8Bkw5nU5UVVUNmYAaTKFQIDMzk03EdTa14PAnm7D/g7U4uWn7eTWNlFgqxQ/e+SumrFrp97f29nZUV1eH1b5KSUmB2Wxm8xKlO/ezeYnWytHrRONSsGQu7vn431BofDu9HQ4HKisrw8pLqFQqWCyWc3mJ+kYc+mgDDny4Hqc27zyvphSSKRW4e82LGL9ikd/frFYrampCj5NIJGJzUXxgGAbNZVWo3HcElfuPonLfUVTuOzIs7Z6Vj9+PK59+BIA7F1VZWRlwkASXwXkJEtywJ5yXL1+OjRs3AgDuuusuvPDCC8P5cYLT1NSEhoaGiPaNj4/Hty+8g2/++QY6G0Nv4HIRSyTInDYBmdMnIaN4PDImFyKlcAxkAXqpo2W321FaWhpW49RDKpVC2evAew88idId+6JOOOqTEzBm/gxYiguRPrkQSWNz0NHYjKr9xwYuekdQe+x0RDeNwRf3SBIS3hITE7Htj//F9v++i+6W6B5HEkulyJoxCVnTJyJ9srszQa5RofbIKbbclfuORjxSfOIVS3HHu3+HbKCy3dfXh9LS0rAapx4ymQyS1i68/9CvUL4n+uSTKT0FuXOnur/rxeORMCYT7XVNqNp/FBX7jqBq/zHUHT8dUQeGQqvB/Z+/hLwFMwEMLM5ZWwurNbJ4paSkYMMv/oxv3/o46t5fiUyGnNnFyJzmifk4SOVyVB8+MVD2o6jafzTiG/z0G6/A9157jh3d3tvbi7KysrAaKh4KhQLO6iZ88ONnUHXgWETH482cmYbcudPY61t8rgVtVXXnKjb7j6L+5NmIRl6ojXo8uOF1ZE2fBMAd8+rqarS3R7ZqfGpqKj750TM4+OH6qKdPkCrkyJ0zFZapE5BRPB5pEwsgEotRc/gEW+6q/Ucj/m7Nu+NGrH7hGTZp2NPTg7Kysoiuy0qlEr0lVfjoZ79FzZGTER2Pt4TcTOTOncp2mpqz0tFaXo3K/cfYSm1jSWTHqkuMx0NfvsmObmcYBpWVlUM+qTOUtNRUvH/Pz3Hks6+ifpReplIid+40ZE4tQvrkQqRNKHB/Jw+dYMtdtf9YxN+tpT++A6t+/xibdO7q6kJFRUVE/45qtRptB07hkyf+gPqTZyM6Hm9J+TnImT2FPc9NGSloLq0auK67r3FNZ8ojem9TRioe/uotdnS7y+VCRUVFwKc2gklNTML/7nwMx9d/E/Vj1QqNGrnzprnP88mFSC3Kh7O/H9UHj7P3tKoDxyKeM/yyJx/Cpb/4IRvzjo4OVFZGljjSarWo37ofn//q+Yhj4S11/Fhkzyp2n+fF42FITUTT6fKB77r7XG8uq4rovRPGZOHhr95iR7c7nU6Ul5eH1Tj1EIlESDKa8c6dj+Hkpu1Rj+ZV6nXImz8dGVOK3DEfnwd7rw1VB46x5a46eDziZPa1zz2BpQ//gP29ra0N1dXVEb2XXq9HxbptWPfsP9BSHtl7eEubWIAcT8wnF0KXFI+GU6XsPa1y39GIk1ypRfl46Ms3oU+MB+COeWlpaVid5h5isRhxKi3+d/fjOPlV9MkntcmAMfOmI2PK+IGYj0VvZ5dPe6X60ImIktkikQg3/etZzPvBDey21tbWsAbHeDMajTj1/gZs/MO/oh7BLRKJkFE8Hlkz3G3U9MmF0MaZUXfitE+9PdIBV5nTJ+HB9a+xo9sdDgdKS0sDjuwdilgshkEix7v3/BwlW3ZHPZpXG292X9sHzvPkglz0tHWwdbeKfUdRe+RURNcTsUSC77/xJ0y/4Qp2W3Nzc1iDY7zFxcXhwEsf4Ou/vRr1QCiRWAzL1AnumE92t8/VRj1qj5Wgyqve3h7GwnHe8hbMwH2fvcSObrfb7SgrKwtroISHVCqFqs+F9x54Eme3RT8QSp8UjzHzZ7Df9eT8HHQ2tbiv7QPlrjlyKqLriVQux53v/wMTL1/KbmtoaEBTU2TxSkxMRGJiYkT7BsMwDFora3wS0JX7jkY94EokFuMn299HWvF4lJWVRZSLkslkyMnJCfgkMvE1rAnnqqoqZGdnswmm9957D9de6997eqEKtzeJy+F/v49vnn8lon2Tx43BuKXzULB0LsYunBn2dBiRcrlcOH36dEQXdQ9HVw/+NX91RBdbpU6LsYtmoWDpXBQsmYuUwrygj0bYe20o27UfpzbvQsnmnSjbfTDknmrvi3s0N3KPvX9+Dbv++25E+6ZNKED+kjkYt3Qe8hbMCPgYmYenx7Fk806c2rwTp77aEdbNffzKRbjrgxcgkctQUlISUbLZw9ZkxX8W3xLRviqDDmMvms1+35PG5gSPeU8vzu7Yx5a74tvDISeg5WoV7v3kPyhYMheNjY1hjXLlsv3X/8CBd7+IaN+MyYUoGCj3mHnT/Xr0B2MYBo2ny3Bq886BuO8Kq0NryrWX4Pa3/gIXgNOnT0eUbPboqqrHK5f8IPgLOWjMRuQvnoOCpXMxbuk8xOdYgsbc1tmFs9v3DsR8Jyr3Hw25saDU6/DguleQM3sq6urq0NISXYXoq5/+AcfXfh32fiKRCJapE9hy58yZGvDRQQ+GYVB/8iz7XS/5eldYHVqe0e0OpxOnT5+OqrJtPVmGN7/zQET76hLi2Otb/pI5iM/KCLpPb3sHTm/9lr3GVR88HvLxa+PNeGjTG0ifVIiampqIO5U81t7zFM5u+zbs/URiMbJmTGKvb9mzitmOvkBcLhfqjpW4Y755J05/vSusToeLHvgervvLL9HX14ezZ89GFfPGfcfx7vd+GtG++uQEttwFS+bClJ4SdJ9uaztOf7PbHfOvdobVuWFITcLDX76J5IIxqKysDGvEI5c1N/0ENYfDnxJJLJUiZ1axu9xL5yF7xiR27vBAXE4nqg+fQMnmXe6Yf7MnrCmJVjx2H658+hH09vaitDS6kam1W/fhw3t/GdG+xrRkjFs2z31fWzwHhpTgjd2u5laUbNnNXuPqT5wJ+fPiszPw0FdvIT4rA2VlZRF3MHi8fcU9aIkgAS6RyZA7d6q73EvmIHPaxIBTl3k4HQ5UHzzOlvvM1m/D6nS46tmfYsXP7kVXVxfKy8vDPmZv5eu24bOf/Caifc2Zaex5nr94DpsMHkpHQxNKvt41UJfZhYaS0L+zyePG4OEv34I+OQGlpaURdTCwGAavLvs+OhvCH2giVcgxZt509n6eUTze7ymywZz9/ajYd4Stv53Z9m1YnQ43/P3XWHTvLVF1KnmUvL8BG56KbO2mhNxM9vqWf9FsaOOCj6Rsq21gY37qqx1hjabOKB6PH254HZo4E86cORNRB4MH0+/AfxfeBFtn+NcKmUqJvAUzULB0HsYtnYu0ieMCTtPh4bDbUb7nEFtvP7tjX8idDiKxGN99+feYdeuqqDqVPI6+8hG+/uN/Ito3KT+HLffYRbOgNnJPb+OttbLGK+Y7w+poypkzFQ988TIUOm30eYkeG/4zf3VEiX+FRn0uL7F0HlLHjw3aXum32VC2+yBb7rJdB0LOS4ilUtzxv7+h+JoVaGlpQV1ddE/Gp6amwmw2B38hDxiGQUt5tVcbdWdYHVraBDNSi/JhtqRi5k9vhzOKNqpMJkNeXl7Q85MMc8L52muvxQcffAAAsFgsKCkpCTjHz4WGYRicOnUqol4Vby0l5Xh71f0hvdaQksheyPOXzIUpLTmqz44UHxc3AFj/0P/h9Jc7gr5OLJUiZ/YUjBu4kGdNnxi0YRZMX3cPzm7fiy///BKOhZAUEkuluP3t56EqzIoqAQcA9QdO4P1bfxLSa03pKWzDLH/xbBiSo+uFZBgGDSWlOPXVDrxz/y9DSsYVLJ2Ha//9f2jrin5upk9vfxwVIYxwlsrl5xpmS+fCMqUoaMMsGFtnF85s+xYbfvciSr7eFfT1MqUCd37wAsSZiVH3dldv34+P7v5FSK+Ny0rHuGXzUbBkDvIXz4EuIS6qz/bMs3h8wzd4/0dPh7TPxCuW4ornf4G2zuhj/v71D6H+ePDkgEypwJj5M9iGWfrkwqgrAT1t7Tiz9Vus/b+/o2zXgaCvV2g1uPvjf8GZGLySHEzZhu34/MfPhvTaxLxsNuGWf9HsqKc9crlcqD16Coc//RKfPPGHkPaZvvpKXPzsj9EWZQKOYRi8eemdaKsKfo+Qq1U+DbPUCQVRx7y7tQ0lW3bhi189H9K0DmqTAfd+/hJsuujrNiVrNmHDL/4c0muTC3LZ69vYhTNDapgNxeV0ovrQCez/YC3W/d/fQ9pn/p03Yv5jd6MjwlHdHs5+B15b9j10t7QFfa1Cq2EbZuOWzgupwziYzqYWlGzZjU9//seQRlnrk+Jxz+cvoVsRfSPj2JufYvNvXgzptalF+Wy5Q+kwDsbpcKBy/1HsfedTfPmn/4a0z9If34Gp962OOuna32PDy4tvhT2E5GckHcbBtNc3ouTrXfjo0d+FNOLWlJGKuz/7DzrF0c89euDF/2H7314P6bXhdhgH4+zvR8Xew9j56gfY+uJbIe1z+VMPI3/1pWFNhcbF1t6JlxbdEtJAEbXJgIIlc8PqMA7GWlOPks078eFPnw1p4ERiXjbu+ORfaHdEv6jb7j++jG9f+SDo6yLpMA6mv68P5XsOYft/3sGu1z4MaZ9rn/s5Mi9bEFXSFQC66pvxyrLvhfRabbyZrccULJnrN31RJFora3Bq80689/Cv0WMN/sRZ2oQC3PbhP2C1Rb9I69an/o5D768N+jqRWIys6RPZ8zxn9pSgHcbB9NtsKN25H1v++Sb2vxd8KlPP6PaE+cVRJV0BwFpajTevvDuk1+qT4tlyFyyZO+Q6CaHwHiT17g+fCqlzLXP6JNz6zl9g7Yl+MeYvf/p7nFi7JejrxBIJsgc6jMctnYesGZP8pqAMl2eQ1Fd/eRlHPvsypGP43mvPQVc8NqrBYIB7arj8/PxRSbwyDIPGM+VsXiKU+8vYRbNw/cu/g5WHvMRIJtuFbNgmH3n11VfZZDMAPPvss5Rs9tLe3h51shkAzHmZSMjLQtPpcr+/KTRqdoRfwdJ5SBk3ZtQnOffMa8qH7KWzAyacU4vy2URr3oIZUGo1vHymh0KjRuHyBdjxEvdIY6lCjsS8bCTl57j/G5sNqVEXdbIZAJIm5UOfkoCOOv9/R6Veh4Ilc9gETGJeNq8xF4lESM7PhcPWFzDZbEhNQtLYc2VPzMtGU109ZLroGkoAkLN8bsCEc8bkQhQsm49xAw0zuTrw4kSRUOq0KFp5ETb/9VXOv8uUCiSOzUZSfi6SB8rOKGW8zDGdMmMCVAYd53yuaqOeLXfB0nlIyLFE/XneRCIRUsePHXKaDVN6ijvWA3FPGJOFxrp6yLXRx3zMigUBE86Z0yay53nunCm8TwGkNhow8fKlWP9b7qmg5GqVz3c9KT8XdjHAxzrGafOmQKZSco5M0sabz43wWzIHcZnpPHziOWKxGOkTx6G1MvCjtGZLGhvz5PwcxI/JRGN9Q9TnnUgkwtiVC7DnX//j/FvWzMkYN/B9z55VHHUlfTCN2Yjiq1fg01/8ifPvCq1mUMxz0NPfBzGir9+kL5gGsUTC+SSFPine3ZEUxkjecIglElimFAVMuIpEIpgz03y+63HZ6WhtaoZUGV3ZJTIpxq5YgANv+i8q7WmYeb7voYzkDZcuIQ5TVq3EBz9+hvPvSr2OvY97yt/R0w2JQhf1Z2csmgEESDgbUpNQuHx+WCN5wyGRSpE9YzKq9h/l/LtILEZcVjpb5uT8HJiy09HR1hZ1DGRqJfKWzsGxjzf5/U0slSJ37lT2PLdMnRB1h/FghuRETP3OpXjnPu6OXLVRf64OM9b909rRDqmRh5hfNBMIkHA2W9Iwbrm73Hx0GA/mnlZrKk5/s4fz72KJBHHZGWwdJik/B4bMNPR0dUMsje7OpjTokLtwBme9XSqXY8yCGWw9JmNyYdCRvOEypSVjyrUr8cYdP+P8u8Zs9LmuJ43NQUtzC6TG6Dp2AMCyeGbAhHN8joU9z/noMB5MplAgb/4MHFvHnQgTS6VIyLUgaey5susykmHr7YUoygSSNjkelpmTULnbv94uUyoGOg/56zAezGxJw6Qrl+G127ifoNHGmwfFPBuN9Q2Q8XCeZy6ZFTDhnDQ2B+OWz+etw3gwmVKJ/Ivm4MCH6zn/LpHJkDAm0+u+lgttehLsdnvUbUZTTjqSx+eh/thpv7/J1SrkXzQ7rJG84RCJREjIsUCqkAdMNusS47ljro8+T5C1ZHbAhHNKYd7AtZ2fDuPB5GoVxi2dF7BTSSqXIzEvy+u+lg1FginqZDNwbsFovuZzDodIJEJSXjZcDmfAZLMhJdHnu56Ql4WGujrIddHHvKmpiV1TjQQ2LAnnvXv34u67z/VuXX/99Vi9evVwfJRg8ZV0FYlEyF0+j004q416TLxiKYpXrUTh8vnDNgdzpDo6OnhJtANA5sIZkMhlcNrdvbHZs4pRfM0KFF+zAgm5mbx8xlBcTidObNwGbbwZlinj3fPoeeYEzrH4VZZPnToVdc8x4G4Ejrl4Pva/4r6paOJMmHzVchSvWoGCJXN5T8BwOb5hK8RSKVIKx8Aypcg9t9jA/LAqvW9FLZo54AbLWjwLomf+CYZh3N/9udNQvGoFJl99Me9JNy79fX0o+XoXdInxsEx1l9lT9risdJ/KMsMwOHnyJC83c4lMhjHL5+HIe+7Kqz4pHpOvvhiTr1mB/EWzeE/AcDmxYSskMhlSi8ayZbZMGY/UCQV+HTp8TB3jkbVkFrY99xIA93d/7MKZmHyNO+Yj8ZRGb3sHynYdgCE1CZZi93lumeKeV81sSfOJucvlwokTJ3jpZJCrVchZNBOnBiqvhtQk9/Vt1QqMmTed9wQMlxMbtkIqlyNtYoH7GjdQ/rSifL/EcjRzwA2WtXg2m3AWS6UoWDzbHfOrlkOflMDLZwylrbYBtUdPwZSRioziQvYalz65EKb0FJ+KpdPpxMmTJ3mJuTrOiMw5U1C21T2thjkzbSDmK5Eze8qIjB45vuEbyJQKpE8ax8bbMqUIKYV5fiPt+Jg6xiNz8Sw24SyRyTBu2TwUr1qJSVcs9VvAazg0lJSitbIG5sw0n3ta+uRCGFOTfGLe39+PU6dO8fK5+rQkpBWPR83APPUJuZkoXuWux2ROnzRCMd8KuVrljjlb9kKkFOb5jbSrrq4Oa7G8oWQunsUmnKUKOcavWIjia1ZgwuVL2blUh1PlwHoF8TkWn3ta+uRC6JMSfGLe19eH06f9EyiRiMvLRHxeFpoH6u1J+TkoXrUSU1atREbx+BFpuB7fsBUKrca9IPiUc/WY5IJcvzokH1PHeGQunsUmnOVqFcavXIQpq1ag6NLFfnXH4XBm21702/qQmJftc0/LmFzol9zv7e3F2bPRzysPAMmTCqBPSUTHwMjq1KJ8FK9agSmrViK1KH9EYn5iw1Yo9Tr2nuZpryTn5/jVIfmYOsYje8kcNuGs0Gow4bLFKF61EuNXLOR9MBCXU1/tBBgGyQW5Pve09Enj/Kbp4GPqGI+0mROhMurROzBVVUbxeBSvWonia1YgZdyYIHvz48SGrVAb9Wz71BP3xLwsvzrk2bNno5s6xkvOsrlswlll0GHi5UtRvGoFCi9eGPWI/VCc2LgVIrEYyQW57jIPnOvpkwr97i18TB3jkTF/qs9AkczpkzBl1QpMvmYFkvKyefmMoTAMgxMbvoEmzsTexz0xT8jN9MtLlJSURDRPORdP4nW0HN/wDcQSCVIK83zuaekTC/ymjOVjSluP/v5+dHZ2Qq8fmWlphYr3KTXKysowZ84cNtkwYcIEbN26FQbD8FcehYJhGBw7Fv0iWB7WsmpUfLoFU65difyLZo9I8ilSfMxn6+3Iy2uQnJXhTj7xPOIrGIfdjs7GFhjTkoNWFl0uF44fD/54dqgaj59Bw5Z9mHLtSoyZP2NEkk/erDX10MYZQ+rQ4DMpAQAHX/wfLOPzMemq5VFPERIue68NPdZ2GFISg8bc4XDg5MnoFz7zqD94Aq37TqD4mhXInTOV99E/wVir66BLjAupQ4OP+Wy97fvrG8idPhmTrlzG+4ivYPq6e2Dr7Arpu8ZnUgIAancfRufJchSvWoGsGZNH/HG11soaGFISQ7qn8JmUYBgG3/7xFYy7aDYmXr6U9xFfwfR2dMLRZw/pu8ZnUgIAKrd8C3tNE4pXrYRlStGIj5poqaiGMS05pHtKeXk5urqifwwVcHfg7vn9y5h4yUWYcOlFI7amhEe3tR1gmJC+a93d3SgrK+Pts8s37QRj7UTxNSuQNnHciMe8ubwK5ozUkO4pfCYlnPZ+fPuHlzH5quUouuSiEUk+eetqsUIsEYc0upDPpAQAlH7xDSR9DhSvWonUwjze3jdUzWVVMGemhXRP4TMp0dfZjQN/ewtTr12J8Rcv5P1JtGA6m1ogVchDSm7zMZ+tt9NrNkElk6P4mhVIGpvD2/uGKpyYnzhxgpfBEgDQ02zFsZfXYOp3LsW4pXNHfCBUR0MT5Bp1SNcXvqZ89DjxzhcwGI3ugVA8P30YDMMwaKmoRlxmekj3lGPHjvHScQ4A7VX1OPvBBky99hLkL54zIgOhfD6/rhEqgy6k60tTUxMaGhp4++xjr32M+LQUFF99McyWNN7eNxTO/n601zXClJEaNOZ856IAYPz4kekw5dJW2wC1yRBSh0Z9fT2am8OfUz+QpKQkJCQM/2AYIeM14VxXV4f58+ezja+cnBxs27YNKSkjmwg83/GdfASAgoICSEc46RgJvpOPcXFxgvh+8Z18BIDCwujnqB0JfCcfh3NFXD7Z7XaUlJTw9n4ikQjjx4/n7f2GE5/JRwBITk5GfHzwRYJGG9/JR4lEgnHjxvH2fsOJz+QjAKSlpY3qaIlQ8Z18lMlkyM/P5+39hhOfyUcAyMjIEMTgBL6TjwqFAnl5I590jASfyUcAyMrKglbL76PFw4Hv5KNarUZOzsgnHSPBZ/IRcLcN1erop9sabnwnH3U6HTIzh//pSz7wmXwEgLy8PEFMq8l38tFoNCI9ffifvozWcCQf8/PzITuPB8B58J18NJvNSE2Nbi7qkeB0OnHiRPgLFg9l3LhxkIzwYKhI1NbWorW1lbf3S0hIQFJSEm/vF4t4y1a1tLRg2bJlbGM7JSUFmzZtEkQycKQNR++PEBKPAHi/EAnhwgYMT3yEMl8Q32UXynf9Qi03QOf5+fp+w+lCLfuFWm7gwj3PL9RyA/wfq1C+73wfJ8X8/Hchn+cX6n3tQi23SCTivU0plLJfqOf5cMRHKDG/UM/z0cTLv1BHRwdWrFjB9o7FxcVh48aNyM4e/vlqhEgkEvHa0yuTyQTzZee7h1sIPeaA+2LEZ0+vQqEQTMJZyfPjc0KJuUQi4bXiIZRyAxfuec73tVgo5QYu3PNcLpfzei3m+99xOPEdI/kIP3YbKb6Pk2J+/rtQ72kAv99PkUgkiFGPAMWcL2KxWBBP4AIXbj0G4LfsUqmU8hLnOZFIxOv9l++68HC6kM/z0RL11aC7uxuXXHIJ9u7dCwDQ6/VYv369YB79Hi18zvUihEfNPfR6PW+VTZlMJqhJ2vmMk5DmCjIYDLwlXhUKhSAevwXcN3M+Yy6k89xkMvFW2VSpVIJ4/BZwN6zMZv4WOBPSeW42m3mrbGo0GsEk4SQSCa9TfwjpPI+L428+db1eL5jko0wm43XqDz7/HYcbn99Pk8kkmEQU33WPCzXmZrNZMCMA+ax7iEQiQUwR5cF33VUoiSi1Ws1b8kgsFlPMBUCn0/GWl5BKpZSXEAC9Xs9b3UMul0OnG/4Fb4UuqoyAzWbDFVdcge3btwNwX6i/+OILTJ06lZeDi2UGg4GXLzvfjd3hxmcSTkg3NMDduOKjoi2VSgUxz6WHWCzmLeYJCQmCijlfSTih3dAkEglviVchVWIA/ipwQkq0A+7rEl/3ogs15hqNBirVyC6iFQ25XM7bvUhoMefrePV6vaBGxyiVSt4Sr0LqXAHA29oRRqNRMKN8AXfbjq97kdBiztd5bjabBdO5AgBarZaX65JIJOK1E364iUQi3s7z+Ph4wYzyBfgbEMb3wIvhJhKJeDvPhRZzo9FIeYkoCS0XNVoiPiv6+/uxatUqfPXVVwDcvf8ff/wx5s6dy9vBxTKRSMTLBOOJiYmCurgB7sRrtDc1mUwmqEQ74L7A8VGRSUpKEtzFjY/KtkKhENQNDXAnXvmoyAgx5nFxcVFfm5RKpaAS7YC74sVHRUaIMeejsq3RaKDRBF9N/nwil8t5uR8JcdERPjoBdTqdoBLtgPvaFO1IJj4buiOJj++p0WgUVKIdcCdeo022CzXmfNRdzWazoBLtgDvxGu21ic/kxkjhq40aHx8vqEQ7wE8nIJ+DLkbKhZyX4KMTkM9BFyNFLBZfsDHn4wkruVwOo9HIzwHFuIi+HU6nE6tXr8YXX3wBwH2Svfvuu1i6dCmvBxfrTCZTVCd6QkKC4G5ogPsCl52dHfGJLpVKkZ2dLbiLG+CucEfT2EhKShLcDQ1wV76ys7Mj7kmVy+XIysoSXAIOiP48TUlJEVyiHXB3CuXk5ER8nioUCsHGPCkpKapKSHp6umCmjvEW7XmqUqlgsVgEGfPU1NSoEpAWi0VQI9o9lEolMjMzI46ZRqNBRkYGz0c1MqI9Ty0Wi+AS7YD7PM3MzIx4f61Wi9TUVB6PaOREc56KRCJkZWUJLtEOuGMWzXlqMBgEuYi8J2aRTvHkae8ILdEOuBOv0ZynJpOJt9HCI0kkEiE7OzviKZ487R2hJdoBd+I1OTk54v3j4+MFNV2Qh1gsRk5OTsTnqVQqRU5OjmCmC/JmNpujOk8TExMFmYuSSCTIycmJ+DyVyWSCzUWNBhHDMEw4OzAMg9tuuw2vvPIKAPdJ+uabb+KGG24YjuO7ILS1taGmpgbhhCI1NVWQJ7g3h8OByspK9PT0hLyPWq2GxWIR5I3cW2trK2pra0N+vUgkQlpamuB70vr7+1FZWYne3t6Q9/E0dIR4I/dgGAatra2oq6sLeR+xWIz09HRBzQfGxW63o6KiAn19fSHvo9frkZaWJviYNzc3o6GhIeR9xGIxLBaLIJPN3mw2GyorK2G320Pex2g0IjU1VdCVN4Zh0NjYiKamppD3kUgksFgsghvVPVhvby8qKyvR398f8j5msxnJycmCj3l9fT1aWlpC3kcqlSIzM1OQyWZvPT09qKyshMPhCHmf+Ph4QT694c3lcqG2thZtbW0h7yOTyZCZmSmYuekD6erqQlVVFZxOZ8j7JCYmCm46tMFcLhdqamrQ3t4e8j4KhQIWi0WQHQzeOjs7UVVVBZfLFfI+ycnJiIuLE3TMnU4nqqur0dnZGfI+SqUSFotFMOsRBNLe3o7q6uqw8xImk0nQMXc4HKiqqkJ3d3fI+3gGSgixU8mb1WpFbW1tyDEXiURszIUskryEZ6CE0HNRIynshPM//vEP3HfffezveXl5WL58eUj7xsXF4amnngrvCC8Q/f39aGtrg9VqDdhI90wjYTQaBX8z82AYBp2dnWhra0NHR0fA1+n1ehiNRuh0OkHfzLzZ7XY25oEa6Z5HtYU2599QPDG3Wq0BK3IikYiNuVarjZmY9/X1sTEP1EhXKBQwmUwwGAwxE3OXy8XGvKuri/M1IpEIBoMBRqMRGo0mZmJus9nYmAdqpCuVSjbmsVKBcblc6OjogNVqDVh5F4lEMBqNMBqNUKvVMRVzq9WKtra2gDFXqVRs2YXcseLN6XSyMQ/UkSwWi31iHit6e3vZmAdKzKhUKvY8j6WYt7e3w2q1BmyweRbPMhqNgk+ye+vp6YHVakV7e3vAmGs0GhiNRhgMBkF3rHhzOBxszG02G+drPOvLGI1GwSfZPRiG8Yl5oOazRqOByWSCXq+PqZh76jGBBg94phQQ4nQ5gTAMg+7ublitVnR0dASMuVarhclkgk6ni5mYh5qXMBqNMJlMMZWX6OrqYmMeyIWal4jlXFSwvIROp4PJZIqpvMRICTvh/OSTT0acNM7MzER5eXlE+14oGIZBb28venp62AqsWCxmF5CK5S+4p7HqcDjgcrkgFovZFV9jpXHGxVOJ7e3t9Ym5Wq2GSqWK6Zg7HA50dnb6xFwmk0Gn08V8zLu7u2Gz2eB0OiESiSCRSKBWq6FUKmM65v39/ejs7ITT6WRj7lkUMVYq6lwCxVyj0cRMgzyQwTGXSCTseR7rMe/q6kJfX59PzPlakOl8Zrfb0dXVBYfDAYZhIJFIIJfLodVqYzrmLpcLXV1dsNvtPjHX6XQx0zgLpK+vD11dXXA6nT4xj6UGORdPh2p/fz8bc6lUCq1WG/Mxt9ls6O7u9om5QqGI+Qa5J+Z2u52tx3jO81gZKBAIV8yVSmVMDRTg4nQ62fPcu42q0+liZqAAF4Zh2JhTXuLCiTlXLoryErGblxhulHAmhBBCCCGEEEIIIYQQwouwE86EEEIIIYQQQgghhBBCCJfYfa6REEIIIYQQQgghhBBCyIiihDMhhBBCCCGEEEIIIYQQXlDCmRBCCCGEEEIIIYQQQggvKOFMCCGEEEIIIYQQQgghhBeUcCaEEEIIIYQQQgghhBDCC0o4E0IIIYQQQgghhBBCCOEFJZwJIYQQQgghhBBCCCGE8IISzoQQQgghhBBCCCGEEEJ4QQlnQgghhBBCCCGEEEIIIbyghDMhhBBCCCGEEEIIIYQQXlDCmRBCCCGEEEIIIYQQQggvKOFMCCGEEEIIIYQQQgghhBeUcCaEEEIIIYQQQgghhBDCC0o4E0IIIYQQQgghhBBCCOGFdLQPgBBCCCGEEHJhkBffBgAQiSVD/5RI2H3EAV8r5tzO9T6DXyPmem0YxxToNWKxaOB30bnXikScf/P8FIs49hEP3of7vUJ5v8Hv5f0+nvf1O7YhPkcS5Kf3/0sDvlYccB/2pyjw+wd+3+DHFNJrPeX3HIPI999p8N+5XuO3r8j/c4K9xuul/sckHvweHMc06DWeP4nh+7v3ZwV6Dft3eO8z+H097+F//MFe43mp7z6BXuN//CKGcf8P4xr43eXzOwb9nfs1g366Br3XEO/n914c7yca9L5hHZPLOfCr1/sPbGP/5vT8Pngfp9c+Lt9tLt992Pfgev9B78vXMTHsZw/6OWi79/+7nM6Q9nW/NoL393tf7s/zPSbu92WcjP+xuJiB3xnO17q89jl3TMyg1/juE8nn+PzN5Rr0Wt99fI9p4H0HvsNO9id8fufaFvh3eO0T7LWB39+F8PcJ9DsAvMCUg0SGRjgTQgghhBBCCCGEEEII4QUlnAkhhBBCCCGEEEIIIYTwghLOhBBCCCGEEEIIIYQQQnhBCWdCCCGEEEIIIYQQQgghvKCEMyGEEEIIIYQQQgghhBBeUMKZEEIIIYQQQgghhBBCCC8o4UwIIYQQQgghhBBCCCGEF5RwJoQQQgghhBBCCCGEEMILSjgTQgghhBBCCCGEEEII4QUlnAkhhBBCCCGEEEIIIYTwghLOhBBCCCGEEEIIIYQQQnhBCWdCCCGEEEIIIYQQQgghvKCEMyGEEEIIIYQQQgghhBBeUMKZEEIIIYQQQgghhBBCCC8o4UwIIYQQQgghhBBCCCGEF5RwJoQQQgghhBBCCCGEEMILSjgTQgghhBBCCCGEEEII4QUlnAkhhBBCCCGEEEIIIYTwghLOhBBCCCGEEEIIIYQQQnhBCWdCCCGEEEIIIYQQQgghvKCEMyGEEEIIIYQQQgghhBBeUMKZEEIIIYQQQgghhBBCCC8o4UwIIYQQQgghhBBCCCGEF5RwJoQQQgghhBBCCCGEEMILSjgTQgghhBBCCCGEEEII4QUlnAkhhBBCCCGEEEIIIYTwQsQwDDPaB0EIIYQQQgghQtXX14dnn30Wjz76KBQKxWgfDgkTxU/YKH7CRbETNoofGQolnAkhhBBCCCEkCh0dHTAYDGhvb4derx/twyFhovgJG8VPuCh2wkbxI0OhKTUIIYQQQgghhBBCCCGE8IISzoQQQgghhBBCCCGEEEJ4QQlnQgghhBBCCCGEEEIIIbyghDMhhBBCCCGEREGhUOCXv/wlLZokUBQ/YaP4CRfFTtgofmQotGggIYQQQgghhBBCCCGEEF7QCGdCCCGEEEIIIYQQQgghvKCEMyGEEEIIIYQQQgghhBBeUMKZEEIIIYQQQgghhBBCCC8o4UwIIYQQQgghhBBCCCGEF5RwJoQQQgghhJAIPfLII5g/fz5uuukm2O12n7/19vbisssuw8KFC7Fs2TK0traO0lGSQIaKn8ezzz6LadOmjfCRES6B4uVwOPC9730P8+fPxw9/+MNRPEIylGDnG51r57dA8aN7HeFCCWdCCCGEEEIIicCBAwdQX1+PrVu3orCwEO+//77P39euXYuioiJs2bIF1113HV5//fVROlLCJVj8AKCzsxNHjx4dhaMjgw0Vr08//RTp6enYunUrenp6sGPHjlE8UsIl2PlG59r5baj40b2OcKGEMyGEEEIIIYREYOfOnVi+fDkAYMWKFX5Jrry8PPT09AAA2trakJCQMOLHSAILFj8A+Mtf/oL77rtvpA+NcBgqXqHEkoyuYDGic+38NlT86F5HuEhH+wAIIYQQQgghRIja2tqQmpoKADAYDH6PEefm5uLo0aMoKiqCSCTC7t27R+MwSQDB4tfe3o4jR47giSeeGI3DI4MMFa+2tjbo9XrOv5Hzw1Dxo3Pt/DdU/OheR7jQCGdCCCGEEEIIGUJ9fT3mzZvn9x/DMOjo6ADgboybzWaf/V599VUsWrQIR48exVNPPYVf/epXo3H4F7xI4/fnP/8Z999//2gcMuFgMpkCxmuov5Hzw1AxonPt/DdU/OheR7hQwpkQQgghhBBChpCcnIxt27b5/XfJJZdgw4YNAID169dj7ty5fvt6GuVGoxFtbW0jedhkQKTxO3PmDJ555hmsWLECp0+fxm9+85vROHwyYNasWQHjNdTfyPlhqBjRuXb+C3aO0b2ODCZiGIYZ7YMghBBCCCGEECF65JFHsHv3blgsFrz88suQy+W466678OKLL6KjowM33ngjuru74XA48NJLL2Hs2LGjfcjEy1Dx8zZt2jTs3bt3lI6SeAyO1wMPPIAXX3wRDocDt99+O0pLS1FcXIznn39+tA+VcAgUP290rp2/AsWP7nWECyWcCSGEEEIIIYQQQgghhPCCptQghBBCCCGEEEIIIYQQwgtKOBNCCCGEEEIIIYQQQgjhBSWcCSGEEEIIIYQQQgghhPCCEs6EEEIIIYQQQgghhBBCeEEJZ0IIIYQQQgghhBBCCCG8oIQzIYQQQgghhBBCCCGEEF5QwpkQQgghhBBCCCGEEEIILyjhTAghhBBCCCGEEEIIIYQXlHAmhBBCCCGEEEIIIYQQwgtKOBNCCCGEEEIIIYQQQgjhxf8HGiejPINvyiQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tau_max = 20\n",
    "steps_ahead = 2\n",
    "target = 2\n",
    "\n",
    "all_predictors = pred.get_predictors(\n",
    "                  selected_targets=[target],\n",
    "                  steps_ahead=steps_ahead,\n",
    "                  tau_max=tau_max,\n",
    "                  pc_alpha=None\n",
    "                  )\n",
    "graph = np.zeros((N, N, tau_max + 1), dtype='bool')\n",
    "for j in [target]:\n",
    "    for p in all_predictors[j]:\n",
    "        graph[p[0], j, abs(p[1])] = 1\n",
    "\n",
    "# Plot time series graph\n",
    "tp.plot_time_series_graph(\n",
    "    figsize=(18, 5),\n",
    "    node_size=0.05,\n",
    "    node_aspect=.3,\n",
    "    val_matrix=np.ones(graph.shape),\n",
    "    graph=graph,\n",
    "    var_names=None,\n",
    "    link_colorbar_label='',\n",
    "    label_fontsize=24\n",
    "    ); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These predictors now efficiently avoid overfitting in the following model fit. Here one can specify whether multiple target variables should be fit at once (assuming that for all of these predictors have been estimated beforehand)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<tigramite.models.Prediction at 0x7f61a4679e80>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred.fit(target_predictors=all_predictors, \n",
    "                selected_targets=[target],\n",
    "                    tau_max=tau_max)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we are ready to predict the target variable at the test samples (NMAE is the mean absolute error normalized by the std):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Predicting target 2\n",
      "##\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predicted = pred.predict(target)\n",
    "true_data = pred.get_test_array(j=target)[0]\n",
    "\n",
    "plt.scatter(true_data, predicted)\n",
    "plt.title(r\"NMAE = %.2f\" % (np.abs(true_data - predicted).mean()/true_data.std()))\n",
    "plt.plot(true_data, true_data, 'k-')\n",
    "plt.xlabel('True test data')\n",
    "plt.ylabel('Predicted test data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also predict other new data by supplying a new dataframe to ``new_data``. Because we have more samples here, the estimate of NMAE is more reliable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Predicting target 2\n",
      "##\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_data = pp.DataFrame(toys.var_process(links_coeffs, T=200)[0])\n",
    "predicted = pred.predict(target, new_data=new_data)\n",
    "true_data = pred.get_test_array(j=target)[0]\n",
    "\n",
    "plt.scatter(true_data, predicted)\n",
    "plt.title(r\"NMAE = %.2f\" % (np.abs(true_data - predicted).mean()/true_data.std()))\n",
    "plt.plot(true_data, true_data, 'k-')\n",
    "plt.xlabel('True test data')\n",
    "plt.ylabel('Predicted test data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This prediction is much better than using *all* past variables which leads to overfitting:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Predicting target 2\n",
      "##\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "whole_predictors = {2:[(i, -tau) for i in range(3) for tau in range(1, tau_max+1)]}\n",
    "pred.fit(target_predictors=whole_predictors, \n",
    "                selected_targets=[target],\n",
    "                    tau_max=tau_max)\n",
    "\n",
    "# new_data = pp.DataFrame(toys.var_process(links_coeffs, T=100)[0])\n",
    "predicted = pred.predict(target, new_data=new_data)\n",
    "# predicted = pred.predict(target)\n",
    "true_data = pred.get_test_array(j=target)[0]\n",
    "\n",
    "plt.scatter(true_data, predicted)\n",
    "plt.plot(true_data, true_data, 'k-')\n",
    "plt.title(r\"NMAE = %.2f\" % (np.abs(true_data - predicted).mean()/true_data.std()))\n",
    "plt.xlabel('True test data')\n",
    "plt.ylabel('Predicted test data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before, we rescaled the data before fitting which requires us to also rescale the test data. We can also leave the data unscaled:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Predicting target 2\n",
      "##\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred = Prediction(dataframe=dataframe,\n",
    "        cond_ind_test=ParCorr(),\n",
    "        prediction_model = sklearn.linear_model.LinearRegression(),\n",
    "#     data_transform=sklearn.preprocessing.StandardScaler(),\n",
    "    train_indices= list(range(int(0.8*T))),\n",
    "    test_indices= list(range(int(0.9*T), T)),\n",
    "    verbosity=1\n",
    "    )\n",
    "pred.fit(target_predictors=all_predictors, \n",
    "                selected_targets=[target],\n",
    "                    tau_max=tau_max)\n",
    "predicted = pred.predict(target)\n",
    "# predicted = pred.predict(target)\n",
    "true_data = pred.get_test_array(j=target)[0]\n",
    "\n",
    "plt.scatter(true_data, predicted)\n",
    "plt.plot(true_data, true_data, 'k-')\n",
    "plt.title(r\"NMAE = %.2f\" % (np.abs(true_data - predicted).mean()/true_data.std()))\n",
    "plt.xlabel('True test data')\n",
    "plt.ylabel('Predicted test data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the different scales on the x- and y-axes.\n",
    "\n",
    "Last, let's try a Gaussian process regressor in conjunction with a GPDC predictor selection. Here we supply ``cond_ind_params`` and ``prediction_model_params`` because the sklearn defaults don't work well here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Step 1: PC1 algorithm for selecting lagged conditions\n",
      "##\n",
      "\n",
      "Parameters:\n",
      "independence test = gp_dc\n",
      "tau_min = 2\n",
      "tau_max = 10\n",
      "pc_alpha = [0.2]\n",
      "max_conds_dim = None\n",
      "max_combinations = 1\n",
      "\n",
      "\n",
      "Null distribution for GPDC not available for deg. of freed. = 380.\n",
      "\n",
      "## Resulting lagged parent (super)sets:\n",
      "\n",
      "    Variable 0 has 3 link(s):\n",
      "        (0 -2): max_pval = 0.00000, |min_val| =  0.337\n",
      "        (2 -9): max_pval = 0.13000, |min_val| =  0.100\n",
      "        (2 -10): max_pval = 0.16000, |min_val| =  0.097\n",
      "\n",
      "    Variable 1 has 4 link(s):\n",
      "        (0 -2): max_pval = 0.00000, |min_val| =  0.506\n",
      "        (1 -2): max_pval = 0.00000, |min_val| =  0.293\n",
      "        (0 -8): max_pval = 0.08400, |min_val| =  0.107\n",
      "        (2 -10): max_pval = 0.14200, |min_val| =  0.099\n",
      "\n",
      "    Variable 2 has 5 link(s):\n",
      "        (1 -2): max_pval = 0.00000, |min_val| =  0.538\n",
      "        (0 -2): max_pval = 0.00000, |min_val| =  0.317\n",
      "        (2 -2): max_pval = 0.00000, |min_val| =  0.204\n",
      "        (0 -9): max_pval = 0.01000, |min_val| =  0.141\n",
      "        (0 -4): max_pval = 0.04200, |min_val| =  0.121\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jakobrunge/anaconda3/envs/py39new/lib/python3.9/site-packages/tigramite/models.py:1889: UserWarning: test_indices - maxlag(predictors) [or tau_max] overlaps with train_indices: Choose test_indices such that there is a gap of max_lag to train_indices!\n",
      "  warnings.warn(\"test_indices - maxlag(predictors) [or tau_max] \"\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Predicting target 2\n",
      "##\n"
     ]
    },
    {
     "data": {
      "image/png": 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gLTMP32ecR1pmHowm93e7yszMtAl4Bg4cCEEQGAgpiCNDREREbko9loMpG44jJ//+PmCxEcGY1LMeujaIdek169Spg5MnT1q1ZWVlITEx0Z2ukggGQ0RERG5IPZaDkasOoeQ4UG7+HYxcdQgLBzaTHRCJjfpwX3X1cJqMiIjIRUaTgCkbjtsEQgAsbVM2HJc8Zfbjjz/aBEJ9+vRhIKQyjgwRERG5aF/WFaupsZIEADn5d7Av6wpSalRy+Fpio0F5eXmoWLGiu90kJxgMERERuejidfuBkNTjioqKEBQUZNNuHg0ymgTsy7qCi9fvICosGC2TKiKgFJOnlcRpMiIiIhdFhQU7P8jBcVOmTLEJhBYsWGAJhFKP5eCR6dvQb/FevPpVBvot3otHpm9D6rEc9zpOVjgyRERE5KKWSRURGxGM3Pw7onlDBgAxEcWjOTbPiUyL3bt3DwEBAQDUScwmcRwZIiIiclFAKQMm9awHoDjweZD560k961lNa50/f97uajFzIKR0YjY5xmCIiIjIDV0bxGLhwGaIibCeCouJCLYZvWnTpg2qVq1qddyePXtsVovJScwm93GajIiIyE1dG8Sic70Yh4nOcmoHKZGYTdJxZIiIiEgBAaUMSKlRCb2aVEFKjUqWQGjXrl02gVDnzp0d1g5yNzGb5OHIEBGRF+Eya+8iNhqUk5ODmJgYh+e5k5hN8jEYIiLyEmrsf0XquHfvHsqUKWPTLrWStDkxe+SqQzAAVgGRvcRsb6OnwJ7TZEREXsC8zLpkUq15mTXrzujHJ598YhMITZs2TfaWGnISs72N3uonGQRueOJQQUEBIiIikJ+fj/DwcK27Q0R+yGgS8Mj0bXZXF5mnTHaP6+jVIwW+QGxa7PadQgQHBbr8mnoaQVGCvfpJ5u9IqUBPzv2bI0NERDrHZdb6Z692UMK4jegw82e3RjzsJWZ7I73WT2IwRESkc1xmrW8Gg8GmdlBUn6lIGLcRgPdMZRpNAtIy8/B9xnmkZeapEpDoNbBnAjURkc5xmbV+2RsNepCA4imgKRuOo3O9GF2O7HgqOV+vgT1HhoiIdM68zNreLdSA4hsXl1l7zurVqyUFQmZ6nsr0ZHK+XgN7BkNERDrnyv5XpB6DwYCBAwdatX28apPdQOhBepvK9HQOj14DewZDRERewJeXWXsLk8lkd0uN1smtJL2G3qYyPZ3Do9fAnjlDREReQsr+V6SOZ599Fl988YVNu7k6jbdWjNYih8cc2JfMUYrRsIAogyEiIi9iXmZNniM2GlSydo23VozWKodHb4E9p8mIiIhE5Obm2p0WEyvi541TmVrm8OipfhJHhoiIiEoQC4ImTJiA999/3+F5ehvxcMZbR7SUxu04nOB2HERE/kUsELKXPO0rfHETYDn3b44MERERAVi2bBmGDh1q0+4PYwbeNqKlNK/KGdq1axd69uyJuLg4GAwGrF+/3uk5O3fuRPPmzREcHIzq1avj008/Vb+jRETkVQwGg00gtH79er8IhMz0lMPjaV4VDN28eRONGzfGvHnzJB2flZWF7t27o02bNkhPT8eECRPwyiuvYO3atSr3lIiIvIEgCHaTpHv16qVBj0gLXjVN1q1bN3Tr1k3y8Z9++imqVauGTz75BABQt25dHDhwAB9//DGeeuoplXpJRERKMZoE1aZu2rZti59//tmm3dFokJr9Ie14VTAkV1paGrp06WLV9thjj2HJkiW4e/cuypQpY3NOYWEhCgsLLV8XFBSo3k8iIrKlZlKv2GjQ2bNnUa1aNU36Q9ryqmkyuXJzcxEdHW3VFh0djXv37uHy5cui50ybNg0RERGWR3x8vCe6SkSkCaNJQFpmHr7POI+0zDzF9qByl1qbh168eNHutJizQMhTm5mS5/n0yBBgG/2bhz/tLZEcP348xowZY/m6oKCAARER+SS9jnQ42zzUgOLNQzvXi5E1RSX2e79mzZo4deqUzfs/OBXWPKGCKv0h/fDpYCgmJga5ublWbRcvXkTp0qVRqZJ4OfugoCAEBQV5ontERJoxj3SUvMGbRzq0rJgsZ/NQqVuTiAVCRqMRpUpZT5CIBYgVy5bBlZt3Fe0P6YtPT5OlpKRg69atVm1btmxBixYtRPOFiIj8gbORF6B4pEOrKTMlNw/96quv7E6LiQVCYlNhjgIhuf0hffKqYOjGjRvIyMhARkYGgOKl8xkZGcjOzgZQPMX17LPPWo4fMWIEzp49izFjxuDEiRNYunQplixZgrFjx2rRfSIiXZAz8qIFpTYPNRgM6Nevn1XbjBkzRFeLOQoQpVJ6M1PyHK+aJjtw4AA6dOhg+dqc2zN48GAsX74cOTk5lsAIAJKSkvDjjz/itddew/z58xEXF4c5c+ZwWT0R+TUlR17UYN48NDf/jmhwYkDx5qeONg+1Nxpkj7MA0REp/ZGDy/c9z6uCofbt2zv8MC9fvtymrV27djh06JCKvSIi8i5KjbyoxZ3NQzt27Ijt27fbtDurJO1q4Kf0ZqZ6TWr3dV41TUZERO4zj7zYu3UbUHwDVmqkwxVdG8Ri4cBmiImwDshiIoLtJncbDAabQOjQoUOSttSQGvhVLBsouT9ycfm+drxqZIiIiNznzsiLJ0ndPDQ/Px/ly5e3OV/OvmJSp+Z2vt4BB89eVXwKS61yAiQNR4aIiPyQKyMvWnC2eajBYHA7EDK/z6Se9Ypfs8RznggQ9Z7U7us4MkRE5KekjrzolViS9J07d1yuFWcOEEvm7MT8X84OADwyfZsq+Tx6T2r3dQyGiIh0QKsVROaRF2/yn//8B507d7ZplzsaJMZegLj1eK6qRSr1ntTu6xgMERFpjCuIpBMbDRo2bBg+//xzxd6jZIDoiXweJcoJkOuYM0REpCGuIJLOXu0gJQMhMZ7I59E6Z8nfMRgiItKI3rfF0IvnnntOdhFFJXkqn8dbktp9EafJiIg0osaGpL5GLAj673//i44dO3qsD57M5/H2pHZvxWCIiEgjXEFk3+3btxEaGmrT7qnRoAd5Op/HG5PavR2nyYiINOLvK4iMJgFpmXn4PuM80jLzLNOBBoNBN4EQwHwef8CRISIijfjzCiJ7K+j2Tuhkc+zVq1dFCyt6krMaRMzn8W4MhoiINOLpbTH0shu6eQXdg99v4fkT2Dv9dZtjtRoNEsN8Ht/FYIiISEOeGnHQSy0jsRV0Z6c/bnNcw4YNceTIEY/1Syrm8/gmBkNERBpTe8RBbCQGUK56shwlV9CJBUIJ4zbis+HJHukPEcBgiIhIF9QacdDbbujmlXEF+77D1e1LbZ5PGLfR6jgiT2AwRETkw/RWyygqLFh0NCjy/72BsnXbWh0nhV7yoMi7MRgiItKIJ27keqplZDQa0fqhSJt282gQIG8FnV7yoMj7MRgiItKA3Bu5q4GTXmoZ1ahRA3/++adNe8lACJC2gs5TeVAcefIPDIaIyGW8UbhG7o3cnREQPdQyEttSY83Oo5j9y98uraDzVB4UR578h0HQUxEHHSooKEBERATy8/MRHh6udXeIdIM3CtcYTQIemb7Nbh6POTjZPa4jAkoZ7AZO5lu8lBEQ82sA4rWM1FpNdvbsWSQmJtq0m287rgbTaZl56Ld4r9Pj1gxPdjkPSonrTtqSc//mdhxEJJv5RlHyhm4e2Ug9lqNRz/RPTkKzUrvaa7EbusFgsAmE2rVrZ1VE0byCrleTKkipUUnyKI7aeVBKXXfyHpwmIyJZ9LZU29vIuZEruRLMk9WTxabFTCaTaLsr1M6D0tsKPFIfR4aISBY5NwqyJedGrvQIiKsjMVItWLBANOARBEGxQAi4nwdl7xUNKJ6ydTUPSur1/OlYjtUGs+S9GAwRkSx6WqrtjeTcyPWyEkwKg8GAl156yapt+fLlquwtpvYu8lKv58q0s+i3eC8emb6NU8NezuVg6NatW/j9999x5MgRqwcR+TZvukHrkZwbudojIEqwN+ojCAIGDx6s2vuqmQfl7LqXxFw57yd7NdmlS5fw3HPP4aeffhJ93mg0KtIxveBqMiJr5tVQzpZqm1dDkTipq/G0WgkmRZ06dXDy5Embdk8uUlarvIO9624PP/f6I+f+LTsYGjBgAM6cOYNPPvkEHTp0wLp16/D3339j6tSpmDFjBnr06OFW5/WGwRCRLT3foL2J1Bu5HssYiI0GnTp1CjVr1tSgN+oQu+7OuLOcn5SlajAUGxuL77//Hi1btkR4eDgOHDiAWrVq4YcffsBHH32E3bt3u9V5vWEwRCROjzdoX6aXApcXLlxAlSpVbNp9tWSd+br/dCwHK9POOj1+dt8m6NXE9vqQ58m5f8teWn/z5k1ERUUBACpWrIhLly6hVq1aaNiwIQ4dOuRaj4nI63hyqTapt6u9HPZWhPlqIARYX3cpwRBz5byT7GCodu3aOHnyJBITE9GkSRN89tlnSExMxKefforYWP41SORP9HCDJs8QC4Tu3buHgIAADXrjeXrY1oTUI3s12ejRo5GTU5wxP2nSJKSmpqJatWqYM2cOPvjgA8U7SERE2lm5cqXd1WLeEggZTQLSMvPwfcZ5l+sCqb2cn7Tl9t5k5iX21apVQ2RkpFL90g3mDBGRvxILgkaMGIGFCxdq0BvXKJ3bxlw576FqAvW7776LsWPHIjQ01Kr99u3b+Pe//42JEyfK77GOMRgiIn9kbzTIm6i12apektnJMVWDoYCAAOTk5FiSqM3y8vIQFRXFOkNERF6sadOmyMjIsGlXMxBSI7gw18OytyyedYF8n6qryexVGz18+DAqVmTiGBGRtxL73f7LL7+gdevWqr2nWtNO3GyV5JAcDFWoUAEGgwEGgwG1atWy+k9jNBpx48YNjBgxQpVOEhGReq5evSr6x6za02L2prHM21u4U7yTe+iRHJKDoU8++QSCIGDo0KGYMmUKIiIiLM8FBgYiMTERKSkpqnSSiIikkzPt5GrtIHentowmAVM2HBddpi6geBpryobj6FwvxqVpLO6hR3JIDobMG+4lJSWhdevWKFOmjGqdcmTBggX497//jZycHNSvXx+ffPIJ2rRpI3rsjh070KFDB5v2EydOoE6dOmp3lYjI4+RMO4kFQjdv3rRZIOPOe9ij9jQW6wKRHLLrDLVr184SCN2+fRsFBQVWDzV9/fXXGD16NN566y2kp6ejTZs26NatG7Kzsx2ed/LkSeTk5FgevrR3DhGRmXnaqWSQUXJX9fXr19tdLSYlEJLyHs64Oo0ltWYQ6wKRHLITqG/duoU33ngD33zzDfLy8myeV3M12cyZMzFs2DA8//zzAIqn7jZv3oyFCxdi2rRpds+LiopC+fLlVesXEcnH5cnKkjrt1K1hnM3zLVu2xK+//qrYe0iZ2nJlGkvuiFTXBrFYOLCZzTkxrAtEJcgOhl5//XVs374dCxYswLPPPov58+fj/Pnz+Oyzz/Dhhx+q0UcAQFFREQ4ePIg333zTqr1Lly7Ys2ePw3ObNm2KO3fuoF69enj77bdFp87MCgsLUVhYaPla7dEuIl8jJchh4TrlSZl22juhk237/+UGSfm5KTm1JXcay9Vka+6hR1LIDoY2bNiAlStXon379hg6dCjatGmDhx56CAkJCVi9ejUGDBigRj9x+fJlGI1GREdHW7VHR0cjNzdX9JzY2FgsWrQIzZs3R2FhIb744gs8+uij2LFjB9q2bSt6zrRp0zBlyhTF+0/kD6QEOWquIPJnjqadcr98E4Xnjtm0mwMhqcGpkiu0zNNYI1cdggGw+jyUnMZyd0SKe+iRM7Jzhq5cuYKkpCQAQHh4OK5cuQIAeOSRR7Br1y5leyei5Dy3vbpHQPGmssOHD0ezZs2QkpKCBQsWoEePHvj444/tvv748eORn59veZw7d07R/hP5Kim5JM5uakDxTc2VvaP8nb1pp7PTH7cJhL766iurQEhqDpDSK7TM01gxEdbHx0QEWwXFckak/IESe62RNdkjQ9WrV8eZM2eQkJCAevXq4ZtvvkHLli2xYcMGVfNyIiMjERAQYDMKdPHiRZvRIkeSk5OxatUqu88HBQUhKCjI5X4S+SOpf7mHBZfRdSE8b85jKjntJNwrQvaM3jbH3TOaLN+T3BEXNVZoSZnGYs2g+zjFrA7ZwdBzzz2Hw4cPo127dhg/fjx69OiBuXPn4t69e5g5c6YafQRQXMuoefPm2Lp1K5588klL+9atW9GrVy/Jr5Oeno7YWH5giJQk9S/3/z0gbaRVi5uat99kHpx2Ojv9cdFjfjp6wSrIkJsDJGdqS27fHQW/eq8Z5KkgmlPM6pEdDL322muWf3fo0AG///47Dhw4gBo1aqBx48aKdq6kMWPGYNCgQWjRogVSUlKwaNEiZGdnWypfjx8/HufPn8fKlSsBFK82S0xMRP369VFUVIRVq1Zh7dq1WLt2rar9JPI3UoOX9RkXJB3n6ZuaN91kHN14uzaIxRmRQKj522sxtU+KzffgyoiLFiu09FwzyFNBtNpFKv2d7GCopGrVqqFatWpK9MWpPn36IC8vD++++y5ycnLQoEED/Pjjj0hISAAA5OTkWNUcKioqwtixY3H+/HmEhISgfv362LRpE7p37+6R/hL5C6WCFy1uat50k3F04w298gfatWtnc86e05ftjlS4OuLi6RVaao1IucuTQTT3WlOXpF3r58yZI/kFX3nlFbc6pDfctZ7IOfMO4fb+cpfCfBvz9ChMWmYe+i3e6/S4NcOTNb3J2LvxGgDR0aBSpUo5rfvm7Oemt53d9TSVab529gIUpa/d9xnn8epXGU6Pm923CXo1qeL2+/kCxXetnzVrltXXly5dwq1btywJ09euXUNoaCiioqJ8LhgiIucc/eUulVaF8KROFf3iYIRFbY5Gr8QCIakbrOp1xMUeT4xISc3/8fRIjd7zprydpGAoKyvL8u8vv/wSCxYswJIlS1C7dm0AxdtdDB8+HC+88II6vSQi3bOXSyLFqA4P4bXOtTS56Uq9eczbfhprD/2lScAmduPN27IAN9J/tDlW7k7z3lalWc2aQXJGnjy9wk3PeVO+QHbO0DvvvINvv/3WEggBxfV8Zs2ahf/5n/9RregiEelfyb/cL18vxHubTjg97+GHIjUbfXB2k3mQVgnVJW+oYqvFyrd/DstnvefS6ys14qJVaQIl3ldu/o+nR2q8bRTP28gOhnJycnD37l2bdqPRiL///luRThGR93rwL3ejScDnu7N0/desnCk+rRKqzTdUQTAh+6P/Z/N8wriNVse5wt0RF63yeZR4X1eS6LUYqfG2UTxvIimB+kE9e/ZEdnY2lixZgubNm8NgMODAgQMYPnw44uPj8cMPP6jVV00wgZrIPea/uAHxv2b1smxd7KbqiCcTqo0mAaUDxDcMSBi3UfNEZ0fJ3YB6P2Ol3tfVJHqtPtveXBzUk+Tcv2Vvx7F06VJUqVIFLVu2RHBwMIKCgtCqVSvExsbi888/d7nTROSbpG65oLWuDWKxe1xHjOpQQ9LxSheGdLTFglggVOXF5ZZACNBuikSrLVaUfF9X83+0+mybR/F6NaliKYZJ7pE9TVa5cmX8+OOP+OOPP3DixAkIgoC6deuiVq1aavSPyCvxLzdrnqpL4+51DyhlwMMPVca87ZlOj1Vy1Y69qZ7hTUIxrHtrm+PN02IAEBFSBs89nIjO9WIU648cWtW/UfJ93cn/8XTNJVKHy0UXa9asiZo1ayrZFyKfoKdaKHqi9s7hSl13T+eC2Jvq2TuhE0pO3JQvXx6X865g3rbTWPZLFq7dvotrt+9i1n/+wFf7z+m6NIHSI2lKvq+7P3O1P9ukPtnTZERkn5wdwEk5Sl53c0I1cD/3w0zpKSl7Uz1iq8VMJhOuXr2Krcdz8cl/TuHabeuFLFp9xrSqf6Pk+3ryZ076xGCISCFa5U74OzWuu6dyQUpO9RQc3CAaCO05fRkGg0GXnzHzqIq9MMGA4hE6pVcMKv2+3pLbRupwe28yIirGvYO0odZ190QuyINTOKK1g9oNRkTy05bj9PgZ06r+jRrvy/wf/yU7GMrOzkZ8fDwMBusPhyAIOHfunMc2bSXSG61yJ/ydmtddjVyQB5O8L18vhCAIyP6op81xDyZJm6d69PoZ06r+jRrvy/wf/yQ7GEpKSkJOTg6ioqKs2q9cuYKkpCSnGwMS+Spv3jtIbBUWAN3/hWw0Cbh8vVDSsXq47iWTvC+t+wC3Tu2xOc4cCJVM3NXzZ0yrURWO5pASZAdDgiDYjAoBwI0bNxAcrP0vGyKteOveQWKrsMqHlgEAXLt1P0lXbyvipBZJ1Mt1L7lqTGxaLO6fi1CmQhwA8akevX/GtBpV4WgOuUtyMDRmzBgAgMFgwDvvvIPQ0FDLc0ajEb/++iuaNGmieAeJvIU37h1kb1n3g0GQmVb7comx1++S9HLdH0x8Nt65gb9m97U5JunNjXgw71lsqscbP2NE3kByMJSeng6geGTo6NGjCAwMtDwXGBiIxo0bY+zYscr3kMiLeNPeQY5WJonRal+ukuT0Wy/X3Zz4LDYaVKZSNcQ9vwAmAXinR11EhgU5nOrxps8YkbeQHAxt374dAPDcc89h9uzZ3KeLyA5vyWFwtjJJjB5WxEnt9zs96mLIw0m6uO4Xr4sHQtVe/x6GUgGWryPDgtCrSRWnr+ctnzEibyE7Z2jZsmVWXxcUFGDbtm2oU6cO6tSpo1jHiLyZN+QwuLPiSMsVcVLfOzIsyKXgQOmtVDZu3IgnejpeLWYmJ/HZGz5jRN5CdjD0zDPPoG3bthg1ahRu376NFi1a4MyZMxAEAV999RWeeuopNfpJRApzZ8WRliuz1FxR5WxLD7mBkthikwodhyP8H72sj4M+kryl4L575ItkB0O7du3CW2+9BQBYt24dBEHAtWvXsGLFCkydOpXBEJGXcLYySYwebtpqraiyl5RtThz/Z9sk/HA4R/LeZ2KBUOL/jQZ5a+Iz990jXyV7O478/HxUrFj8SyY1NRVPPfUUQkND0aNHD/zxxx+Kd5CI1OFoPyYxerlpq7GPlLNtLgQAn+3KkrT32auvvioaCAmC4NJ2D0aTgLTMPHyfcR5pmXmabefCfffIl8keGYqPj0daWhoqVqyI1NRUfPXVVwCAq1evss4QkZextzJJrM6QnlYrKb2iypVkcsB2hV3pANu/Lw8cOIDmzZtb+i0n8VkvIzHOgkU9rDIkcofsYGj06NEYMGAAypUrh2rVqqF9+/YAiqfPGjZsqHT/iEhl9m7QgL4rUCu5osqdhHABwPnL10QDIUGwDR+kJj47m7bzZL0nPe6JRqQk2cHQiy++iJYtW+LcuXPo3LkzSpUq/gVQvXp1TJ06VfEOEvkSvSaf2rtB6/3GptSKKncSwsWWzJcrVw7Xr193+TX1NhKj1z3RiJTi0q71LVq0QKNGjZCVlYUaNWqgdOnS6NGjh9J9I/IpepnyIFuuJJMD4oHQ9wez8P+aJbrVH72NxOh5TzQiJchOoL516xaGDRuG0NBQ1K9fH9nZ2QCAV155BR9++KHiHSTyBUw+1Te5yeR3/johGggljtuIaZsz3U5y1ttIjDlYtHdtDCgO7L2hNACRGNnB0Pjx43H48GHs2LHDKmG6U6dO+PrrrxXtHJEvcDblARRPeWi1SsjbqLW6ypyUXXK1V2xEMF5om2QJBM5Ofxx/r37d6pjwVk8hYdxGqxEbd+htJEaNFXxEeiJ7mmz9+vX4+uuvkZycbLV8tF69esjMzFS0c0S+QG9THt5M7alGR0nZTatVQLeGcTbniFWSdnfERo+703NPNPJlsoOhS5cuISoqyqb95s2borU1iPyd3qY89MxRgrmnVleJJWX/61//wsyZM22OFQuEAPdHbPS6Oz33RCNfJTsY+sc//oFNmzbh5ZdfBnC/yurixYuRkpKibO+IfIDepjz0ytGoT+d6MU6nGif/8Jsqq6vE/siL7jMVwYlNbI+FciM2eh2J4Z5o5ItkB0PTpk1D165dcfz4cdy7dw+zZ8/Gb7/9hrS0NOzcuVONPhJ5NT1OeeiNs1Gf0Z1qOS2KmFtQiHnbTuPVTjUV6VNRURGCgoJs2n86egEjVx0C4HzExt1SChyJIfIMgyBWFcyJo0eP4uOPP8bBgwdhMpnQrFkzjBs3zieLLhYUFCAiIgL5+fkIDw/Xujvkpcw3e0D8BurJAnp6YzQJeGT6NrvBjgFARGgZq2rYjnyqwLW0N+Vv/nUpJXdJ7JiY8GD0a1kNiZGhDGyIVCbn/u1SMORPGAyRUlhnSFxaZh76Ld6r2OvFRgRj97iOLgcZYoFQXl6eZU9GM0ejPj8euYAXv0yX1Fd///kTqUXO/Vv2NFlAQABycnJskqjz8vIQFRUFo9Eo9yWJ/AKnPMRJTRwvH1IG1247Hx1ydWXe/v370bJlS5t2e38v2sud+fFIDkatcR4IAdpsrUFEtmQHQ/Z+MRQWFiIwMNDtDhH5Ml9MPnU3L0Zq4vhzDydi1n/+kHSs3JV5YqNBiYmJyMrKkvU6qcdy8OKXhyQfz01OifRBcjA0Z84cAMW/ND7//HOUK1fO8pzRaMSuXbtQp04d5XtIRLqlxNSf1ATzUR2LE6OlBERyVuaJBUKuZA+Yi2vKZa4zNWvrKTz8UCRHC4k0IDlnKCkpCQBw9uxZVK1aFQEBAZbnAgMDkZiYiHfffRetWrVSp6caYc4QkTh7K8BcSQqXmmBuNAl4+MNtyC2wn2wd4yRnyDySNW7UMPyc+r3N866mUSqV+8Q8IiJlyLl/S96OIysrC1lZWWjXrh0OHz5s+TorKwsnT57E5s2bPRIILViwAElJSQgODkbz5s3x888/Ozx+586daN68OYKDg1G9enV8+umnqveRyNcpvcWIva0wIkLKYHSnmuhcLwZA8TTj5P9XDwa4ti1E6rEcPDJ9G1o/FGkTCE2dOtXlQAhQrmgm96sj8jzZe5Nt374dFSpUUKMvTn399dcYPXo03nrrLaSnp6NNmzbo1q2bZbPYkrKystC9e3e0adMG6enpmDBhAl555RWsXbvWwz0nkkatfbeUJmeLEam6NojF7nEd8VqnWigfUgYAcO32Xcz6zx94ZPo2S3BgL3CKiQh2OBqVeiwHI744gL0TOtk8lzhuI5r3Giq5r2KUKpqpx/3qvOVzSeQqr1pa36pVKzRr1gwLFy60tNWtWxdPPPEEpk2bZnP8uHHj8MMPP+DEiROWthEjRuDw4cNIS0uT9J6cJiNPsZd/806PeqhQNlBXK9C+zziPV7/KcHrc7L5N0KtJFcmvK2fqTU7ittEkoHSA+N9+CeM2Sppec8ZcL8le7pMr1gxP1jzhniUhyFupurReK0VFRTh48CDefPNNq/YuXbpgz549ouekpaWhS5cuVm2PPfYYlixZgrt376JMmTKq9ZdIDntBQE7+HZvVSXq4EamxxYizqbeSq67krMwTC4Tinl+IMpXiLa/v7ma5jvYTMysfUhrXbt+T/Jpa71fnqf3giLQme5pMK5cvX4bRaER0dLRVe3R0NHJzc0XPyc3NFT3+3r17uHz5sug5hYWFKCgosHoQqclRECBG6ZwSV6ZAzCvA7I2hGFActMnZYkSNqbdjx46JrhZLGLfREgg9yN3gw94UXmxEMD4d2AwH3+mCNcOTMapDDUmvp+V+dUrnhRHpmdeMDJmV/MUmCILd0vn2jhdrN5s2bRqmTJniZi+JpHMWBJSkZG0aV6dA1NhVXWogIvU4e//H7e00DygTfJQsrhlZNggwAJdvFGJf1hW0TKqIlkkVsfbQeV3vVycnONV6Ko/IXZKCoSNHjkh+wUaNGrncGUciIyMREBBgMwp08eJFm9Efs5iYGNHjS5cujUqVxP/zjh8/HmPGjLF8XVBQgPh4278giZTiymiEEjcid6dAlN5VXcmpN7FAqNXULfj7epFHgg/zFF7qsRyM/fawaLCpdDCpNKWDUyI9kxQMNWnSBAaDwekoDADVtuMIDAxE8+bNsXXrVjz55JOW9q1bt6JXr16i56SkpGDDhg1WbVu2bEGLFi3s5gsFBQWJ7lRNpBZ3RiNcvRHJzc+xR8ktRqQWX3QUsEycOBHvvfee7fckCJbgz1PBh5RgU8lgUmlq5IUR6ZWkYOjBkvTp6ekYO3YsXn/9daSkpAAoTlSeMWMGPvroI3V6+X/GjBmDQYMGoUWLFkhJScGiRYuQnZ2NESNGACge1Tl//jxWrlwJoHjl2Lx58zBmzBgMHz4caWlpWLJkCdasWaNqP4nkcBYEOOLqjUjJKRClthhxd+pN7A+1vn37Wv6/Kz2S5YjUYHP3uI663a9OieCUyFtICoYSEhIs/3766acxZ84cdO/e3dLWqFEjxMfH45133sETTzyheCfN+vTpg7y8PLz77rvIyclBgwYN8OOPP1r6l5OTY1VzKCkpCT/++CNee+01zJ8/H3FxcZgzZw6eeuop1fpIJJeUVUgluXsjkjqi9Mvpyx69ObsasEjdUsNTm+XKDTb1mHOjRl4YkV7JrjMUEhKCQ4cOoW7dulbtJ06cQLNmzXD79m1FO6g11hkiTxFLZhbjynYXJcnZOkKLpfxSawjZm7a/ZzRpepNWqw6TFlhniLyVnPu37GCoWbNmqFu3LpYsWYLg4OIh+sLCQgwdOhQnTpzAoUPSd2z2BgyGyJNKBgFXbxbivU0nFL8RySkQqETwpQaxQCh6wHQEV62v+c1aarCph6KKUsgpcEmkF6oGQ/v27UPPnj1hMpnQuHFjAMDhw4dhMBiwceNGtGzZ0vWe6xCDIdKaWjcie5ujilGiQrNSzp49i8TERJv2B5fMax3AOQs29XQ9iXyVqsEQANy6dQurVq3C77//DkEQUK9ePfTv3x9ly5Z1udN6xWCIfJnUqTkzrUcy5NQO0jrgsBdsah2oEfkL1YMhf8JgiHyd0SRg1taTmLc90+mxWua4iAVC1f61DobSjrfV0TKAY74NkXbk3L9d2o7jiy++wCOPPIK4uDicPXsWADBr1ix8//33rrwcEWkooJQBDz9UWdKxWtSUmTZtmmggtD79L6eBEKBtUcCuDWKxe1xHrBmejNl9m2DN8GTsHteRgRCRzsgOhhYuXIgxY8agW7duuHr1qqXIYoUKFfDJJ58o3T8i8gA19hpTgsFgwIQJE6zaEhISIAiC1xQFNNdh6tWkClJqVGKOEJEOyQ6G5s6di8WLF+Ott95C6dL3yxS1aNECR48eVbRzROQZ5poyAGwCIq1qytirHXTmzBkA+g3giMj7yA6GsrKy0LRpU5v2oKAg3Lx5U5FOEZHn2dtxPSYi2KPJvgaDQVIRRT0GcETknWTvWp+UlISMjAyrqtQA8NNPP6FevXqKdYyIlCVlib6nKjTb69cTTavaPL969Wr0799f9FxPbrFBRL5LdjD0+uuv46WXXsKdO3cgCAL27duHNWvWYNq0afj888/V6CMRuUnOqial9hqT06+/ci/hrzn9bJ6XsthViwCOiHyLS0vrFy9ejKlTp+LcuXMAgCpVqmDy5MkYNmyY4h3UGpfWk7ezt3u61vVuzP06M/1x0ed/OnqBIztE5DKP1Rm6fPkyTCYToqKiXH0J3WMwRN7MXAnZXlFFrQoTmvu1d0Inm+eqvvoVSgeXY4VmInKLqnWGOnbsiGvXrgEAIiMjLYFQQUEBOnbsKL+3RKQaObune9L7cz8XDYQSxm1EQHA5zfpFRP5Jds7Qjh07UFRUZNN+584d/Pzzz4p0ioiUIbXgoCcLE8rZUkPLgolycCNTIu8mORg6cuSI5d/Hjx9Hbm6u5Wuj0YjU1FRUqaJNmX4iEqe3woRigZBYEGSmVr+UDF645QaR95McDDVp0sRS/0NsOiwkJARz585VtHNE5B5zYUJnu6erXZiwdu3aOHXqlE174riNHu+XksGLveT03Pw7GLnqEDdjJfISknOGsrKykJmZaVlOn5WVZXmcP38eBQUFGDp0qJp9JSKZ9FCY0GAw2ARCM2bMwE9HL3i8X+bgpWQelTl4ST2WI/m1jCYBUzYcFw3mzG1TNhyH0cS9sIn0TvLIkLnIoslkUq0zRL5CTzkkWhUmLCwsRHCw7TTXgwtYPdkvKcHLm2uPIiy4DJKrO99DTE5yuqfqNhGRa2QnUE+bNg3R0dE2o0BLly7FpUuXMG7cOMU6R+SN9JhD4unChPaSpEtW8vBkv5wFLwBw7fZdDPj8V0k/Lz0mpxORa2Qvrf/ss89Qp04dm/b69evj008/VaRTRN5KyWkYpXlq93SxQOjcuXN2q0l7ql9yghIpPy+9JacTketkB0O5ubmIjbX9a6ly5crIydHuFz2R1vw9h2TPnj12N1itWrUqjCYBaZl5+D7jPNIy8zx+HeQEJVJ+XubkdHuhmwHFI4JqJ6cTkftkT5PFx8fjl19+QVJSklX7L7/8gri4OMU6RuRt/DmHxNm0mB6mDp2trCvJ2c/LnJw+ctUhGACr1/RUcjoRKUP2yNDzzz+P0aNHY9myZTh79izOnj2LpUuX4rXXXsPw4cPV6CORV/DXHBJ7o0EPBkJ6mDp0tLLOEUc/L3NyekyE9ahTTEQwl9UTeRHZI0NvvPEGrly5ghdffNFSiTo4OBjjxo3D+PHjFe8gkbfwtxySXr164YcffrBpfzA3yNnUoQHFU1Gd68V4ZATF3so6R5z9vDydnE5EynN5o9YbN27gxIkTCAkJQc2aNREUFKR033SBG7WSVObNR50VOFRj81FPL+UXGw0aNWqUTeHVtMw89Fu81+nrrRme7NGpQ6NJwN7MPLz05SFcu31X9BitNrElImXIuX/LHhkyK1euHP7xj3+4ejqRz9Eqh8ST+TgmkwkBAQE27fb+ptLr1GFAKQMerhmJD59qiJGrDgFgzg+RP5MUDPXu3RvLly9HeHg4evfu7fDY7777TpGOEXkjTxc49OR2EFJrBz1I71OHWhWkJCJ9kRQMRUREWH4RRkREqNohIm/nqRwST+bjiAVCR44cQcOGDR2ep5e90Rxhzg8RuZwz5C+YM0R65Yl8nN9++w0NGjSwaZfza8M8egWIT0Vx1RURqUHO/Vv20noi0ge183EMBoPbgRBwfyoqOpzLz4lInyRNkzVt2tRuvkBJhw4dcqtDRCSNmvk4Yv/fjUYjSpVy5+8n6yCKg9JEpBeSfrM98cQT6NWrF3r16oXHHnsMmZmZCAoKQvv27dG+fXsEBwcjMzMTjz32mNr9JaL/o8Z2EPPnz7dbRNHVQMg8TZZbUGjV/ndBoeb7tRERAS7kDD3//POIjY3Fe++9Z9U+adIknDt3DkuXLlW0g1pjzhDpmZL5OGJBUL9+/fDll1+63D9z7SV7BQ5Zy4eI1KJqztD//u//4tlnn7VpHzhwINauXSv35YjIDUptB2FvNMidQAiQt18bEZFWZBddDAkJwe7du1GzZk2r9t27dyM42De2GSD/4enKzWpwZ2l4SkoK9u61XZGmVD6PXosuEhE9SHYwNHr0aIwcORIHDx5EcnIyAGDv3r1YunQpJk6cqHgHidSih53UlRJQyiB7+bzYaNDBgwfRrFkzpbql+6KLRESAi3WGvvnmG8yePRsnTpwAANStWxevvvoqnnnmGcU7qDXmDPkme5Wb/aH2zZUrV1Cpkm3gpMbqLi33ayMi/ybn/s2ii04wGPI9/pzU68qWGu5i0UUi0oLqRRevXbuGzz//HBMmTMCVK8WJj4cOHcL58+ddeTlJrl69ikGDBiEiIgIREREYNGgQrl275vCcIUOGwGAwWD3MU3vkv/w1qVcsECoqKrIJhIwmAWmZefg+4zzSMvNgNLkXKCmV5E1EpBbZOUNHjhxBp06dEBERgTNnzuD5559HxYoVsW7dOpw9exYrV65Uo5/o378//vrrL6SmpgIA/vnPf2LQoEHYsGGDw/O6du2KZcuWWb4ODAxUpX/kPfwtqfenn35C9+7dbdrFRoPUyqPi/l9EpGeyg6ExY8ZgyJAh+OijjxAWFmZp79atG/r3769o58xOnDiB1NRU7N27F61atQIALF68GCkpKTh58iRq165t99ygoCDExMSo0i/yTv6U1Cs2GvTiiy9i/vz5Nu328qhy8+9g5KpDbo/iuJLkTUTkCbKnyfbv348XXnjBpr1KlSrIzc1VpFMlpaWlISIiwhIIAUBycjIiIiKwZ88eh+fu2LEDUVFRqFWrFoYPH46LFy+q0kfyHmpUbtYje7WDxAIho0nAlA3HRZOczW1TNhx3e8qMiEiPZAdDwcHBKCgosGk/efIkKleurEinSsrNzUVUVJRNe1RUlMMArFu3bli9ejW2bduGGTNmYP/+/ejYsSMKCwvtnlNYWIiCggKrB/mWgFIGTOpZDwBsAiLz15N61vPaKZy+ffvaDYTs8WQeldI5SURE7pI9TdarVy+8++67+OabbwAU//WZnZ2NN998E0899ZSs15o8eTKmTJni8Jj9+/db3qckQRAcbiDbp08fy78bNGiAFi1aICEhAZs2bULv3r1Fz5k2bZrTPpH3Myf1lsyPifHSOkNmYv8ffv75ZzzyyCMA7BeZ9FQelS/VdiIi3yE7GPr444/RvXt3REVF4fbt22jXrh1yc3ORkpKC999/X9ZrjRo1Cn379nV4TGJiIo4cOYK///7b5rlLly4hOjpa8vvFxsYiISEBf/zxh91jxo8fjzFjxli+LigoQHx8vOT3IO/hS0m9t2/fRmhoqE37g6NBjgIRT+RRqZ2TRETkKtnBUHh4OHbv3o1t27bh0KFDMJlMaNasGTp16iT7zSMjIxEZGen0uJSUFOTn52Pfvn1o2bIlAODXX39Ffn4+WrduLfn98vLycO7cOcTG2v+FGxQUhKCgIMmvSd5NL0m97mwLIqV2kLNAZH7/poiNCHZaHNHVPCpnOUkGFOckda4X45XBKBF5N1lFF+/du4fg4GBkZGSgQYMGavbLRrdu3XDhwgV89tlnAIqX1ickJFgtra9Tpw6mTZuGJ598Ejdu3MDkyZPx1FNPITY2FmfOnMGECROQnZ2NEydOWK2Ec4RFF0lt7kwdiQVC169fR7ly5SxfSy0y+U6PenjpS3WKI6Zl5qHfYts90EpaMzxZF8EpEXk/1Youli5dGgkJCTAajW510BWrV69Gw4YN0aVLF3Tp0gWNGjXCF198YXXMyZMnkZ+fDwAICAjA0aNH0atXL9SqVQuDBw9GrVq1kJaWJjkQIlKbecSmZKBiHrFJPZYjel56errdPLoHAyFAenJ0hbKBqhVH9LfaTkTkXWRPk7399tsYP348Vq1ahYoVPbf0uGLFili1apXDYx4c5AoJCcHmzZvV7hapyBd2lHfE1akjsSDo+eefx+LFi0XfR04g0qtJFVXyqPypthMReR/ZwdCcOXNw+vRpxMXFISEhAWXLlrV6/tChQ4p1jvyXP6w6krOc3Tx1JHfJPCA/EFEjj8pc20mtnCQiIne4tLTe0XJ2Inf5y6ojOSM2H3zwAd566y2b56Sk/OkhEDHXdhq56hAMEM9J8ubaTkTk3WQHQ5MnT1ahG0TF/GnVkdQRmyeaVrVp27x5M7p06SLpfL0EIr5a24mIvJ/kYOjWrVt4/fXXsX79ety9exedOnXCnDlzJC2NJ5Ka/+PK1JG3cjZiA5MRZ//dy6a51fv/wYlS1XA747zknB69BCK+VNuJiHyH5GBo0qRJWL58OQYMGIDg4GCsWbMGI0eOxP/+7/+q2T/yAXLyf7RcdeTphG1HIza5X/wLhRdO2pyTMG4jcgvuYNZ/TlnapOZS6SUQ0UttJyIiM8l1hmrUqIH333/fUjF63759ePjhh3Hnzh0EBASo2kktsc6Qe+zl/9irXaNVPRotE7ZLvvfZ6Y/bHBP/6lcoFVzOph1Qpg6Qu3x95R8ReR8592/JwVBgYCCysrJQpUoVS1tISAhOnTrl09tVMBhyndRif7vHdbTcOI0mAc2nbsW1W3ftvm750DI4+HZnxW62cgM2NRhNAn789Tj+X2vbYqYJ4zY6PV/sWnqKP6z8IyLvo0rRRaPRiMDAQKu20qVL4969e671knyeWjuhK3mrd5awDRQnbKu9s3rpgFI2gVDZhp0kBUKAsrvKy+Fq0UgiIj2RnDMkCAKGDBlitW/XnTt3MGLECKtaQ999952yPSSv5Ur+z76sKw5HhQDg6q27iiVQ6yFhW6xUxZ7TlyVNF5bkTi6V3Kkuf1r5R0S+TXIwNHjwYJu2gQMHKtoZ8i2uVB32dAK1lgnbqamp6Natm027IAgwmgTHK83scLWCsytTXXoIJImIlCA5GFq2bJma/SAf5EqxP09v26DVNhFio0E7duxAu3btADheaSb6enC9cKKrRS653xgR+QpZG7USyWG+oQO2eT72iv2ZAyh7kyoGFI9YKFUt2dPvJwiC3S01zIGQmbk2UMmNU8X6CLhWONGdnCnuN0ZEvoLBkB8xmgSkZebh+4zzSMvMUz0pGLB/Q7e3E7orAZQ7PPl+r732GkqVsv4vFxgY6HBLja4NYrF7XEesGZ6M2X2b4LVONRETHmR1jDu7yruT5O7pQJKISC2yt+Mg76Tl8me5xf48XS3ZE+8nNhp06dIlSRXcSxYpHNWxpmI1fdyZ6tLLNh9ERO6SXGfIX/lCnSE91NFxhacL+anxflevXkXFirYjI3r5b6dEkUvWGSIiPZJz/+bIkI/z5uXPnt62Qen3q1ChAq5du2bVNmLECCxcuFCx93CXEjva62WbDyIiVzEY8nH+vvxZq20ixKbFTCaTaLuWlJrq4n5jROTNGAz5oAcDgD/+vi7pHF9c/qzF9M2RI0fQuHFjm3a9TIuJ0cuO9kREWmEw5GPEAgApfG35s6u1c9whNuqzefNmdOnSRdH3UQOnuojInzEY8iH2AgBH3CnWp1da5EnZqx3kTTjVRUT+inWGfISjAMAeX13+rNYGsWKWLl1qEwglJCR4XSBEROTPODLkI5wFAGJ8NSfEU9tEiI0G5ebmIjo62q3XJSIiz2Iw5COk3thHdXgINaPL+XROiNrbRNy5cwchISE27RwNIiLyTpwm8xFSb+wPPxSJXk2qIKVGJZ8MhAB1t4no06ePTSD0r3/9i4EQEZEX48iQj1CieJ6vUGubCLFpsXv37iEgIMDlvhIRkfY4MuQjPL3Bqd7J3SDWkdOnT9tdLcZAiIjI+3FvMie8bW8yX90nytVK0u5WoBYLgjZs2IDHH39cVv+JiMiz5Ny/GQw54W3BEKDdFhRq0SrA84XaQURE/krO/ZvTZD7IXDzPFxKlzYUkS5YNMFeSTj2Wo/h7fvbZZwyEiIj8CBOoSbf0Ukn6999/R+3atRV5fSIi0h+ODJFuebKSdFFRkd3RIAZCRES+jcEQ6ZanKkl36dIFQUFBVm2tWrXitBgRkZ/gNBnpltqVpAHxabHbt28jONj11yQiIu/CkSHSLTUrSZ8/f97utBgDISIi/8JgiHRLrUKSUVFRqFq1qlXbF198wWkxIiI/xWky0jVzJemSdYZiXKwzxCXzRERUEoMh0r2uDWLRuV6MW4Uk//Of/6Bz58427QyEiIiIwRB5BXMhSVeIjQYdP34cdevWdbdbRETkA7wmZ+j9999H69atERoaivLly0s6RxAETJ48GXFxcQgJCUH79u3x22+/qdtR0g2TyWR3WoyBEBERmXlNMFRUVISnn34aI0eOlHzORx99hJkzZ2LevHnYv38/YmJi0LlzZ1y/fl3FnpIeTJw40WZH+R49enBajIiIbHjdRq3Lly/H6NGjce3aNYfHCYKAuLg4jB49GuPGjQMAFBYWIjo6GtOnT8cLL7wg6f3U2qjV1zZT1ROx0aAbN26gbNmyGvSGiIi0IOf+7bM5Q1lZWcjNzUWXLl0sbUFBQWjXrh327NljNxgqLCxEYWGh5euCggLF+6bVLuy+Li8vD5GRkTbtXhbvExGRh3nNNJlcubm5AIDo6Gir9ujoaMtzYqZNm4aIiAjLIz4+XtF+abELuz9o1KiRTSA0f/58BkJEROSUpsHQ5MmTYTAYHD4OHDjg1nuUnDIRBEF0GsVs/PjxyM/PtzzOnTvn1vs/yNku7EDxLuxGE2/gchgMBhw9etSqzWQy4cUXX9SoR0RE5E00nSYbNWoU+vbt6/CYxMREl147JiYGQPEIUWzs/amnixcv2owWPSgoKMhm006lyNmF3dVl5P5k7969SElJsWnnaBAREcmhaTAUGRkpmuOhhKSkJMTExGDr1q1o2rQpgOIVaTt37sT06dNVeU9nPLULuz8QG93bv38/WrRooUFviIjIm3lNzlB2djYyMjKQnZ0No9GIjIwMZGRk4MaNG5Zj6tSpg3Xr1gEovlmOHj0aH3zwAdatW4djx45hyJAhCA0NRf/+/TX5HjyxC7uvszfNKQgCAyEiInKJ16wmmzhxIlasWGH52jzas337drRv3x4AcPLkSeTn51uOeeONN3D79m28+OKLuHr1Klq1aoUtW7YgLCzMo303M+/Cnpt/RzRvyIDiPbdc2YXdHyxduhTDhg2zamvRogX279+vUY+IiMgXeF2dIU9Tus6QeTUZAKuAyDzWsXBgMy6vFyE2GnTlyhVUqFBBg94QEZHeybl/e800ma8w78IeE2E9FRYTEcxASMStW7fsTosxECIiIiV4zTSZL1FiF3Z/MHbsWMyYMcOqbeXKlRg0aJBGPSIiIl/EYEgj7uzC7g/ERoPsbbxKRETkDk6Tka5kZWXZBDzBwcFOi2USERG5isEQ6UajRo1QvXp1q7b09HTcvn1box4REZE/4DQZ6YK9JGkiIiK1cWSINLV582abQOiZZ55hIERERB7DkSHSjNhoUF5eHipWZNFJIiLyHAZD5HFFRUWim+FyNIiIiLTAaTLyqKlTp9oEQvPmzWMgREREmuHIEHmM2LTYvXv3EBAQoEFviIiIinFkiFR34cIFu6vFGAgREZHWGAyRU0aTgLTMPHyfcR5pmXkwmqRPaXXs2BFVqlSxatu9ezenxYiISDc4TUYOpR7LwZQNx5GTf8fSFhsRjEk96zndVJa1g4iIyBtwZIjsSj2Wg5GrDlkFQgCQm38HI1cdQuqxHNHzdu/ebRMIdezYkYEQERHpEkeGSJTRJGDKhuMQC18EAAYAUzYcR+d6MQgodT/wERsNunDhAmJjHY8iERERaYUjQyRqX9YVmxGhBwkAcvLvYF/WFQCA0Wi0Oy3GQIiIiPSMwRCJunjdfiBU8rh58+ahdGnrQcapU6dyWoyIiLwCp8lIVFRYsKTjnmha1aatsLAQgYGBSndJE0aTgH1ZV3Dx+h1EhQWjZVJFq2lBIiLyfgyGSFTLpIqIjQhGbv4d0bwh0+0CnJvT36bdl0aD3FlJR0RE3oPTZCQqoJQBk3rWA1CcLP2gS+un2QRCmzdv9rlAyJWVdERE5H0YDJFdXRvEYuHAZoiJuD9ldnb647h18her4wRBQJcuXTzdPdU4W0kHFK+kk1N8koiI9IvBEDnUtUEsdo/riMmtQ3F2+uNWzzVq1MinRoPM5K6kIyIi78acIXKqbGgICgsLrdr+/PNPJCUladQjdclZSUdERN6PwRDZJQgCSpWyHTz0xdGgB0ldSSf1OCIi0jdOk5GolStX2gRCY8eO9flACLi/ks7eAnoDileVtUyq6MluERGRSjgyRDbEKknfvHkToaGhGvTG88wr6UauOgQDYJVIbb4yk3rWY70hIiIfwZEhsrh+/brdLTX8JRAyE1tJBwAxEcFYOLAZ6wwREfkQjgwRAOCf//wnFi9ebNX27bff4qmnntKoR9rr2iAWnevFiFagZmVqIiLfwWCIREeDTCaTaLu/CShlQEqNSlZtrExNRORbOE3mx37//XebgCc2NhaCIDAQsoOVqYmIfA+DIT8VHx+PunXrWrUdP34cFy5c0KhH+sfK1EREvonTZH7GX2sHKUFOZeqSU2tERKRfHBnyI/v27bMJhIYNG8ZASCJWpiYi8k0cGfITDRo0wG+//WbVlp+fj/DwcI165H1YmZqIyDcxGPJxRUVFCAoKsmnnaJB85srUufl3RPOGDCiuQ8TK1ERE3oXTZD5s9erVNoHQ9u3bGQi5yFyZGoDNVh2sTE1E5L04MuSjWDtIHebK1CXrDMWwzhARkdfympGh999/H61bt0ZoaCjKly8v6ZwhQ4bAYDBYPZKTk9XtqMYuXbpkE/D06dOHtYMU1LVBLHaP64g1w5Mxu28TrBmejN3jOjIQIiLyUl4zMlRUVISnn34aKSkpWLJkieTzunbtimXLllm+DgwMVKN7uvD666/j448/tmrLzMxE9erVNeqR7xKrTE1ERN7Ja4KhKVOmAACWL18u67ygoCDExMSo0CN9sbfBKhERETnmNdNkrtqxYweioqJQq1YtDB8+HBcvXnR4fGFhIQoKCqweenbkyBGbQOjf//43AyEiIiKJvGZkyBXdunXD008/jYSEBGRlZeGdd95Bx44dcfDgQdHl5gAwbdo0yyiU3rVp0wa7d++2aisoKEBYWJhGPSIiIvI+mo4MTZ482SbBueTjwIEDLr9+nz590KNHDzRo0AA9e/bETz/9hFOnTmHTpk12zxk/fjzy8/Mtj3Pnzrn8/mq5d+8eDAaDVSAUFBQEQRAYCBEREcmk6cjQqFGj0LdvX4fHJCYmKvZ+sbGxSEhIwB9//GH3mKCgILujRnqwbt069O7d26pt06ZN6N69u0Y9IiIi8m6aBkORkZGIjIz02Pvl5eXh3LlziI31ziXQYknSRqNRdONVIiIiksZr7qLZ2dnIyMhAdnY2jEYjMjIykJGRgRs3bliOqVOnDtatWwcAuHHjBsaOHYu0tDScOXMGO3bsQM+ePREZGYknn3xSq2/DJdeuXbMJhLp27Wp3B3oiIiKSzmsSqCdOnIgVK1ZYvm7atCmA4u0l2rdvDwA4efIk8vPzAQABAQE4evQoVq5ciWvXriE2NhYdOnTA119/7VV5Ne+99x4mTpxo1Xb8+HHUrVtXox4RERH5FoPANdgOFRQUICIiQpMd3lk7iIiIyDVy7t+cY9Ghy5cv2wRCkyZNYiBERESkAq+ZJvMXX375JQYMGGDVlpeXh4oVK2rUIyIiIt/GYEgnBEFAo0aNcOzYMUtbo0aNcPjwYQ17RURE5PsYDOnA6dOnUbNmTau23377DfXq1dOoR0RERP6DOUMa++CDD6wCocTERBiNRgZCREREHsKRIY0YjUYEBgbCZDJZ2hYvXoznn39ew14RERH5HwZDGlm7dq1VIHThwgWvrYxNRETkzRgMaaR58+bo0qULwsLC8O2332rdHSIiIr/FYEgjNWrUwObNm7XuBhERkd9jMKRDRpOAfVlXcPH6HUSFBaNlUkUElLKtRk1ERETuYzCkM6nHcjBlw3Hk5N+xtMVGBGNSz3ro2oA5RURERErj0nodST2Wg5GrDlkFQgCQm38HI1cdQuqxHI16RkRE5LsYDOmE0SRgyobjENt9zNw2ZcNxGE3cn4yIiEhJDIZ0Yl/WFZsRoQcJAHLy72Bf1hXPdYqIiMgPMBjSiYvX7QdCrhxHRERE0jAY0omosGBFjyMiIiJpGAzpRMukioiNCIa9BfQGFK8qa5lU0ZPdIiIi8nkMhnQioJQBk3oWb85aMiAyfz2pZz3WGyIiIlIYgyEd6dogFgsHNkNMhPVUWExEMBYObMY6Q0RERCpg0UWd6dogFp3rxbACNRERkYcwGNKhgFIGpNSopHU3iIiI/AKnyYiIiMivMRgiIiIiv8ZgiIiIiPwagyEiIiLyawyGiIiIyK8xGCIiIiK/xmCIiIiI/BqDISIiIvJrDIaIiIjIr7ECtROCIAAACgoKNO4JERERSWW+b5vv444wGHLi+vXrAID4+HiNe0JERERyXb9+HREREQ6PMQhSQiY/ZjKZcOHCBYSFhcFg0OdmqQUFBYiPj8e5c+cQHh6udXc0xWtxH6/FfbwW9/Fa3MdrcZ8vXgtBEHD9+nXExcWhVCnHWUEcGXKiVKlSqFq1qtbdkCQ8PNxnPsTu4rW4j9fiPl6L+3gt7uO1uM/XroWzESEzJlATERGRX2MwRERERH6NwZAPCAoKwqRJkxAUFKR1VzTHa3Efr8V9vBb38Vrcx2txn79fCyZQExERkV/jyBARERH5NQZDRERE5NcYDBEREZFfYzBEREREfo3BkJd6//330bp1a4SGhqJ8+fKSzhkyZAgMBoPVIzk5Wd2OeoAr10IQBEyePBlxcXEICQlB+/bt8dtvv6nbUQ+4evUqBg0ahIiICERERGDQoEG4du2aw3N85XOxYMECJCUlITg4GM2bN8fPP//s8PidO3eiefPmCA4ORvXq1fHpp596qKfqk3MtduzYYfPzNxgM+P333z3YY+Xt2rULPXv2RFxcHAwGA9avX+/0HF/9TMi9Fr76mXCEwZCXKioqwtNPP42RI0fKOq9r167IycmxPH788UeVeug5rlyLjz76CDNnzsS8efOwf/9+xMTEoHPnzpa96LxV//79kZGRgdTUVKSmpiIjIwODBg1yep63fy6+/vprjB49Gm+99RbS09PRpk0bdOvWDdnZ2aLHZ2VloXv37mjTpg3S09MxYcIEvPLKK1i7dq2He648udfC7OTJk1afgZo1a3qox+q4efMmGjdujHnz5kk63pc/E3KvhZmvfSYcEsirLVu2TIiIiJB07ODBg4VevXqp2h8tSb0WJpNJiImJET788ENL2507d4SIiAjh008/VbGH6jp+/LgAQNi7d6+lLS0tTQAg/P7773bP84XPRcuWLYURI0ZYtdWpU0d48803RY9/4403hDp16li1vfDCC0JycrJqffQUuddi+/btAgDh6tWrHuidNgAI69atc3iML38mHiTlWvjDZ6Ikjgz5mR07diAqKgq1atXC8OHDcfHiRa275HFZWVnIzc1Fly5dLG1BQUFo164d9uzZo2HP3JOWloaIiAi0atXK0pacnIyIiAin35c3fy6Kiopw8OBBq58nAHTp0sXu952WlmZz/GOPPYYDBw7g7t27qvVVba5cC7OmTZsiNjYWjz76KLZv365mN3XJVz8T7vCnzwSDIT/SrVs3rF69Gtu2bcOMGTOwf/9+dOzYEYWFhVp3zaNyc3MBANHR0Vbt0dHRlue8UW5uLqKiomzao6KiHH5f3v65uHz5MoxGo6yfZ25urujx9+7dw+XLl1Xrq9pcuRaxsbFYtGgR1q5di++++w61a9fGo48+il27dnmiy7rhq58JV/jjZ4K71uvI5MmTMWXKFIfH7N+/Hy1atHDp9fv06WP5d4MGDdCiRQskJCRg06ZN6N27t0uvqRa1rwUAGAwGq68FQbBp0wOp1wKw/Z4A59+XN30uHJH78xQ7XqzdG8m5FrVr10bt2rUtX6ekpODcuXP4+OOP0bZtW1X7qTe+/JmQwx8/EwyGdGTUqFHo27evw2MSExMVe7/Y2FgkJCTgjz/+UOw1laLmtYiJiQFQ/JdgbGyspf3ixYs2fxnqgdRrceTIEfz99982z126dEnW96Xnz4WYyMhIBAQE2Ix8OPp5xsTEiB5funRpVKpUSbW+qs2VayEmOTkZq1atUrp7uuarnwml+PpngsGQjkRGRiIyMtJj75eXl4dz585ZBQR6oea1SEpKQkxMDLZu3YqmTZsCKM612LlzJ6ZPn67Ke7pD6rVISUlBfn4+9u3bh5YtWwIAfv31V+Tn56N169aS30/PnwsxgYGBaN68ObZu3Yonn3zS0r5161b06tVL9JyUlBRs2LDBqm3Lli1o0aIFypQpo2p/1eTKtRCTnp7uNT9/pfjqZ0IpPv+Z0DJ7m1x39uxZIT09XZgyZYpQrlw5IT09XUhPTxeuX79uOaZ27drCd999JwiCIFy/fl3417/+JezZs0fIysoStm/fLqSkpAhVqlQRCgoKtPo2FCH3WgiCIHz44YdCRESE8N133wlHjx4V+vXrJ8TGxnr9tejatavQqFEjIS0tTUhLSxMaNmwoPP7441bH+OLn4quvvhLKlCkjLFmyRDh+/LgwevRooWzZssKZM2cEQRCEN998Uxg0aJDl+D///FMIDQ0VXnvtNeH48ePCkiVLhDJlygjffvutVt+CYuRei1mzZgnr1q0TTp06JRw7dkx48803BQDC2rVrtfoWFHH9+nXL7wIAwsyZM4X09HTh7NmzgiD412dC7rXw1c+EIwyGvNTgwYMFADaP7du3W44BICxbtkwQBEG4deuW0KVLF6Fy5cpCmTJlhGrVqgmDBw8WsrOztfkGFCT3WghC8fL6SZMmCTExMUJQUJDQtm1b4ejRo57vvMLy8vKEAQMGCGFhYUJYWJgwYMAAm+Wxvvq5mD9/vpCQkCAEBgYKzZo1E3bu3Gl5bvDgwUK7du2sjt+xY4fQtGlTITAwUEhMTBQWLlzo4R6rR861mD59ulCjRg0hODhYqFChgvDII48ImzZt0qDXyjIvDy/5GDx4sCAI/vWZkHstfPUz4YhBEP4vQ4yIiIjID3FpPREREfk1BkNERETk1xgMERERkV9jMERERER+jcEQERER+TUGQ0REROTXGAwRERGRX2MwRESkkvbt22P06NFad4OInGAwRERuMRgMDh9DhgzxWF/UCD6GDBmCJ554QtHXtGfHjh0wGAy4du2aR96PiIpxo1YicktOTo7l319//TUmTpyIkydPWtpCQkKsjr979y43viQiXeHIEBG5JSYmxvKIiIiAwWCwfH3nzh2UL18e33zzDdq3b4/g4GCsWrUKkydPRpMmTaxe55NPPkFiYqJV27Jly1C3bl0EBwejTp06WLBggd1+DBkyBDt37sTs2bMto1JnzpwBABw/fhzdu3dHuXLlEB0djUGDBuHy5cuWc7/99ls0bNgQISEhqFSpEjp16oSbN29i8uTJWLFiBb7//nvLa+7YsUP0/W/evIlnn30W5cqVQ2xsLGbMmGFzzKpVq9CiRQuEhYUhJiYG/fv3x8WLFwEAZ86cQYcOHQAAFSpUsBpVS01NxSOPPILy5cujUqVKePzxx5GZmengp0JEcjAYIiLVjRs3Dq+88gpOnDiBxx57TNI5ixcvxltvvYX3338fJ06cwAcffIB33nkHK1asED1+9uzZSElJwfDhw5GTk4OcnBzEx8cjJycH7dq1Q5MmTXDgwAGkpqbi77//xjPPPAOgeGSrX79+GDp0KE6cOIEdO3agd+/eEAQBY8eOxTPPPIOuXbtaXrN169ai7//6669j+/btWLduHbZs2YIdO3bg4MGDVscUFRXhvffew+HDh7F+/XpkZWVZAp74+HisXbsWAHDy5Enk5ORg9uzZAIoDrTFjxmD//v3473//i1KlSuHJJ5+EyWSSdC2JyDFOkxGR6kaPHo3evXvLOue9997DjBkzLOclJSXh+PHj+OyzzzB48GCb4yMiIhAYGIjQ0FDExMRY2hcuXIhmzZrhgw8+sLQtXboU8fHxOHXqFG7cuIF79+6hd+/eSEhIAAA0bNjQcmxISAgKCwutXrOkGzduYMmSJVi5ciU6d+4MAFixYgWqVq1qddzQoUMt/65evTrmzJmDli1b4saNGyhXrhwqVqwIAIiKikL58uUtxz711FNWr7NkyRJERUXh+PHjaNCggd1+EZE0HBkiItW1aNFC1vGXLl3CuXPnMGzYMJQrV87ymDp1quzpoYMHD2L79u1Wr1OnTh0AQGZmJho3boxHH30UDRs2xNNPP43Fixfj6tWrst4jMzMTRUVFSElJsbRVrFgRtWvXtjouPT0dvXr1QkJCAsLCwtC+fXsAQHZ2ttPX79+/P6pXr47w8HAkJSVJOo+IpOHIEBGprmzZslZflypVCoIgWLXdvXvX8m/z9M/ixYvRqlUrq+MCAgJkvbfJZELPnj0xffp0m+diY2MREBCArVu3Ys+ePdiyZQvmzp2Lt956C7/++qsl6HCm5Pci5ubNm+jSpQu6dOmCVatWoXLlysjOzsZjjz2GoqIih+f27NkT8fHxWLx4MeLi4mAymdCgQQOn5xGRNAyGiMjjKleujNzcXAiCAIPBAADIyMiwPB8dHY0qVargzz//xIABAyS/bmBgIIxGo1Vbs2bNsHbtWiQmJqJ0afFfeQaDAQ8//DAefvhhTJw4EQkJCVi3bh3GjBkj+polPfTQQyhTpgz27t2LatWqAQCuXr2KU6dOoV27dgCA33//HZcvX8aHH36I+Ph4AMCBAwds+g/A6v3y8vJw4sQJfPbZZ2jTpg0AYPfu3VIvCRFJwGkyIvK49u3b49KlS/joo4+QmZmJ+fPn46effrI6ZvLkyZg2bRpmz56NU6dO4ejRo1i2bBlmzpxp93UTExPx66+/4syZM7h8+TJMJhNeeuklXLlyBf369cO+ffvw559/YsuWLRg6dCiMRiN+/fVXfPDBBzhw4ACys7Px3Xff4dKlS6hbt67lNY8cOYKTJ0/i8uXLViNYZuXKlcOwYcPw+uuv47///S+OHTuGIUOGoFSp+79iq1WrhsDAQMydOxd//vknfvjhB7z33ntWr5OQkACDwYCNGzfi0qVLuHHjBipUqIBKlSph0aJFOH36NLZt24YxY8a4c/mJqCSBiEghy5YtEyIiIixfZ2VlCQCE9PR0m2MXLlwoxMfHC2XLlhWeffZZ4f333xcSEhKsjlm9erXQpEkTITAwUKhQoYLQtm1b4bvvvrP7/idPnhSSk5OFkJAQAYCQlZUlCIIgnDp1SnjyySeF8uXLCyEhIUKdOnWE0aNHCyaTSTh+/Ljw2GOPCZUrVxaCgoKEWrVqCXPnzrW85sWLF4XOnTsL5cqVEwAI27dvF33v69evCwMHDhRCQ0OF6Oho4aOPPhLatWsnvPrqq5ZjvvzySyExMVEICgoSUlJShB9++MHm+rz77rtCTEyMYDAYhMGDBwuCIAhbt24V6tatKwQFBQmNGjUSduzYIQAQ1q1bZ/daEJF0BkGQMNlNRERE5KM4TUZERER+jcEQERER+TUGQ0REROTXGAwRERGRX2MwRERERH6NwRARERH5NQZDRERE5NcYDBEREZFfYzBEREREfo3BEBEREfk1BkNERETk1xgMERERkV/7/xCVE2QV+DJnAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tau_max = 10\n",
    "steps_ahead = 2\n",
    "target = 2\n",
    "T = 500\n",
    "dataframe = pp.DataFrame(toys.var_process(links_coeffs, T=T)[0])\n",
    "pred = Prediction(dataframe=dataframe,\n",
    "        cond_ind_test=GPDC(),   #CMIknn ParCorr\n",
    "        prediction_model = sklearn.gaussian_process.GaussianProcessRegressor(alpha=0., \n",
    "                                 kernel=sklearn.gaussian_process.kernels.RBF() +\n",
    "                                        sklearn.gaussian_process.kernels.WhiteKernel()),\n",
    "        # prediction_model = sklearn.neighbors.KNeighborsRegressor(),\n",
    "    data_transform=sklearn.preprocessing.StandardScaler(),\n",
    "    train_indices= range(int(0.8*T)),\n",
    "    test_indices= range(int(0.8*T), T),\n",
    "    verbosity=1\n",
    "    )\n",
    "\n",
    "all_predictors = pred.get_predictors(\n",
    "                  selected_targets=[target],\n",
    "                  steps_ahead=steps_ahead,\n",
    "                  tau_max=tau_max,\n",
    "                  pc_alpha=0.2\n",
    "                  )\n",
    "pred.fit(target_predictors=all_predictors, \n",
    "                selected_targets=[target],\n",
    "                    tau_max=tau_max)\n",
    "predicted = pred.predict(target)\n",
    "# predicted = pred.predict(target)\n",
    "true_data = pred.get_test_array(j=target)[0]\n",
    "\n",
    "plt.scatter(true_data, predicted)\n",
    "plt.plot(true_data, true_data, 'k-')\n",
    "plt.title(r\"NMAE = %.2f\" % (np.abs(true_data - predicted).mean()/true_data.std()))\n",
    "plt.xlabel('True test data')\n",
    "plt.ylabel('Predicted test data')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "tigenv",
   "language": "python",
   "name": "tigenv"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
